 Asymptotic Distribution Theory of Empirical Rank-dependent Measures of InequalityDiscussion Papers from Statistics Norway, Research Department Abstract: A major aim of most income distribution studies is to make comparisons of income inequality across time for a given country and/or compare and rank different countries according to the level of income inequality. However, most of these studies lack information on sampling errors, which makes it difficult to judge the significance of the attained rankings. The purpose of this paper it to derive the asymptotic properties of the empirical rank-dependent family of inequality measures. A favourable feature of this family of inequality measures is that it includes the Gini coefficients, and that any member of this family can be given an explicit and simple expression in terms of the Lorenz curve. By relying on a result of Doksum (1974) it is easily demonstrated that the empirical Lorenz curve, regarded as a stochastic process, converges to a Gaussian process. Moreover, this result forms the basis of the derivation of the asymptotic properties of the empirical rank-dependent measures of inequality. Keywords: The Lorenz curve; the Gini coefficient; rank-dependent measures of inequality; nonparametric estimation methods; asymptotic distribution theory. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ssb:dispap:402 Access Statistics for this paper More papers in Discussion Papers from Statistics Norway, Research Department P.O.Box 8131 Dep, N-0033 Oslo, Norway. Contact information at EDIRC. |
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