Greselin, Francesca and Pasquazzi, Leo and Zitikis, Ricardas (2009): Zenga’s new index of economic inequality, its estimation, and an analysis of incomes in Italy.

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Abstract
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 challenging 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, M. Zenga has recently 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 employ the results to analyze data from the Bank of Italy’s Survey on Household Income and Wealth.
Item Type:  MPRA Paper 

Original Title:  Zenga’s new index of economic inequality, its estimation, and an analysis of incomes in Italy 
Language:  English 
Keywords:  Zenga index, lower conditional expectation, upper conditional expectation, conﬁdence interval, Bonferroni curve, Lorenz curve, Vervaat process. 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General 
Item ID:  17147 
Depositing User:  Leo Pasquazzi 
Date Deposited:  08. Sep 2009 14:03 
Last Modified:  19. Feb 2013 11:20 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/17147 