Decomposition of Bivariate Inequality Indices by Attributes Revisited
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.
|Date of creation:||2010|
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- Abul Naga, Ramses H. & Geoffard, Pierre-Yves, 2006.
"Decomposition of bivariate inequality indices by attributes,"
Elsevier, vol. 90(3), pages 362-367, March.
- Ramses H. Abul Naga & Pierre-Yves Geoffard, 2005. "Decomposition of bivariate inequality indices by attributes," PSE Working Papers halshs-00590715, HAL.
- Ramses H. Abul Naga & Pierre-Yves Geoffard, 2006. "Decomposition of bivariate inequality indices by attributes," LSE Research Online Documents on Economics 6541, London School of Economics and Political Science, LSE Library.
- Ramses H. Abul Naga & Pierre-Yves Geoffard, 2006. "Decomposition of Bivariate Inequality Indicesby Attributes," STICERD - Distributional Analysis Research Programme Papers 83, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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