Zenga's new index of economic inequality, its estimation, and an analysis of incomes in Italy
type: Item
instance of: scholarly article
title: Zenga's new index of economic inequality, its estimation, and an analysis of incomes in Italy
zbMATH Open document ID: 1200.91251
DOI: 10.1155/2010/718905
author: Francesca Greselin
author: Leo Pasquazzi
author: Ričardas Zitikis
published in: Journal of Probability and Statistics
publication date: 2010-12-01T00:00:00Z
full work available at URL: https://eudml.org/doc/225189
review text: Summary: For at least a century academics and governmental researchers have been developing measures that would aid them in understanding income distributions, their differences with respect to geographic regions, and changes over time periods. It is a fascinating area due to a number of reasons, one of them being the fact that different measures, or indices, are needed to reveal different features of income distributions. Keeping also in mind that the notions of poor and rich are relative to each other, \textit{M. Zenga} [``Inequality curve and inequality index based on the ratios between lower and upper arithmetic means'', Statistica \& Applicazioni 5, 3--27 (2007)] proposed a new index of economic inequality. The index is remarkably insightful and useful, but deriving statistical inferential results has been a challenge. For example, unlike many other indices, Zenga's new index does not fall into the classes of \(L\)-, \(U\)-, and \(V\)-statistics. In this paper we derive desired statistical inferential results, explore their performance in a simulation study, and then use the results to analyze data from the Bank of Italy Survey on Household Income and Wealth (SHIW).
Mathematics Subject Classification ID: 91B82
Mathematics Subject Classification ID: 62P20
zbMATH DE Number: 5822164
Wikidata QID: Q58652678
describes a project that uses: bootlib
MaRDI profile type: Publication
OpenAlex ID: W2248071133
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description: scientific article; zbMATH DE number 5822164