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Decomposition of Bivariate Inequality Indicesby Attributes

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  • Ramses H. Abul Naga
  • Pierre-Yves Geoffard

Abstract

We provide, for the class of relative bidimensional inequality indices, adecomposition of inequality into two univariate Atkinson-Kolm-Senindices and a third statistic which depends on the joint distribution ofresources.

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Bibliographic Info

Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Distributional Analysis Research Programme Papers with number 83.

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Date of creation: Feb 2006
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Handle: RePEc:cep:stidar:83

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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

Related research

Keywords: multidimensional inequality; relative indices; correlationincreasing transfers; copulas.;

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References

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  1. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
  2. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  3. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
  4. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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Citations

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Cited by:
  1. Abul Naga, Ramses H., 2010. "Statistical inference for multidimensional inequality indices," Economics Letters, Elsevier, vol. 107(1), pages 49-51, April.
  2. Marco Giovanni Brambilla & Eugenio Peluso, 2010. "A remark on 'Decomposition of bivariate inequality indices by attributes' by Abul Naga and Geoffard, Economics Letters 90 (2006), pp. 362-367," Working Papers 05/2010, University of Verona, Department of Economics.
  3. FLEURBAEY, Marc & SCHOKKAERT, Erik, 2011. "Equity in health and health care," CORE Discussion Papers 2011026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Elisabetta Croci Angelini & Alessandra Michelangeli, 2008. "Measuring Well-Being differences across EU Countries. A Multidimensional Analysis of Income, Housing, Health, and Education," Working Papers 15-2008, Macerata University, Department of Studies on Economic Development (DiSSE), revised Nov 2008.
  5. Bleichrodt, Han & Rohde, Kirsten I.M. & Van Ourti, Tom, 2012. "An experimental test of the concentration index," Journal of Health Economics, Elsevier, vol. 31(1), pages 86-98.
  6. Fleurbaey, Marc & Schokkaert, Erik, 2009. "Unfair inequalities in health and health care," Journal of Health Economics, Elsevier, vol. 28(1), pages 73-90, January.
  7. Martyna Kobus, 2010. "Decomposition of Bivariate Inequality Indices by Attributes Revisited," Working Papers 2010-07, Faculty of Economic Sciences, University of Warsaw.
  8. Marco Giovanni Brambilla & Alessandra Michelangeli & Eugenio Peluso, 2011. "Equity in the City: On Measuring Urban (Ine)Quality of Life," DISCE - Quaderni dell'Istituto di Economia e Finanza ief0101, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
  9. ERREYGERS, Guido & KESSELS, Roselinde, 2013. "Regression-based decompositions of rank-dependent indicators of socioeconomic inequality of health," Working Papers 2013007, University of Antwerp, Faculty of Applied Economics.
  10. Croci Angelini, Elisabetta & Michelangeli, Alessandra, 2012. "Axiomatic measurement of multidimensional well-being inequality: Some distributional questions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(5), pages 548-557.
  11. Kobus, Martyna, 2012. "Attribute decomposition of multidimensional inequality indices," Economics Letters, Elsevier, vol. 117(1), pages 189-191.
  12. Abul Naga, Ramses H., 2009. "Statistical Inference for Multidimensional Inequality Indices," Department of Economics Working Papers 15976, University of Bath, Department of Economics.
  13. Martyna Kobus, 2014. "Multidimensional polarization for ordinal data," Working Papers 326, ECINEQ, Society for the Study of Economic Inequality.

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