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|
|Contact details of provider:|| Postal: ul. Dluga 44/50, 00-241 Warszawa|
Phone: (+48 22) 55 49 144
Fax: (+48 22) 831 28 46
Web page: http://www.wne.uw.edu.pl/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
When requesting a correction, please mention this item's handle: RePEc:war:wpaper:2010-07. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marcin Bąba)
If references are entirely missing, you can add them using this form.