Decomposition of Bivariate Inequality Indices by Attributes Revisited

Martyna Kobus

No 2010-07, Working Papers from Faculty of Economic Sciences, University of Warsaw

Abstract: Decomposability of multidimensional inequality indices by attributes is considered a highly desired property. Naga and Geoffard (2006) provided for it in case of three bivariate indices. To this end, they introduced the notion of a copula function into inequality measurement theory which, as a measure of association, is a natural concept for the study of decomposability. We show that the decomposition obtained is unrelated to copulas, and prove that two indices do not admit decomposition if association is indeed measured via copula. Most notably, the proof reveals a necessary property of indices decomposable via copulas which is similar to well-known separability property.

Keywords: multidimensional inequality; decomposition by attributes; copula function (search for similar items in EconPapers)
JEL-codes: D31 D63 (search for similar items in EconPapers)
Pages: 10 pages
Date: 2010
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http://www.wne.uw.edu.pl/inf/wyd/WP/WNE_WP30.pdf First version, 2010 (application/pdf)

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Persistent link: https://EconPapers.repec.org/RePEc:war:wpaper:2010-07

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