文章基本信息

标题：Zenga's New Index of Economic Inequality, Its Estimation, and an Analysis of Incomes in Italy
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作者：Francesca Greselin ; Leo Pasquazzi ; Ričardas Zitikis 等
期刊名称：Journal of Probability and Statistics
印刷版ISSN：1687-952X
电子版ISSN：1687-9538
出版年度：2010
卷号：2010
DOI：10.1155/2010/718905
出版社：Hindawi Publishing Corporation
摘要：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, Zenga (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).