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Decomposition of bivariate inequality indices by attributes

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  • Ramses H. Abul Naga

    (IEMS - Institut d'économie et de management de la santé - Université de Lausanne)

  • Pierre-Yves Geoffard

    (IEMS - Institut d'économie et de management de la santé - Université de Lausanne, PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris, CEPR - Center for Economic Policy Research - CEPR)

Abstract

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

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Bibliographic Info

Paper provided by HAL in its series PSE Working Papers with number halshs-00590715.

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Date of creation: Jun 2005
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Handle: RePEc:hal:psewpa:halshs-00590715

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00590715
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Keywords: multidimensional inequality ; relative indices ; correlation increasing transfers ; copulas;

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References

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  1. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, Oxford University Press, number 9780198281931, October.
  2. 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.
  3. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  4. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, 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. Ramses H. Abul Naga, 2008. "Statistical Inference for MultidimensionalInequality Indices," STICERD - Distributional Analysis Research Programme Papers, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE 097, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  2. 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.
  3. 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.
  4. FLEURBAEY, Marc & SCHOKKAERT, Erik, 2011. "Equity in health and health care," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2011026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Kobus, Martyna, 2012. "Attribute decomposition of multidimensional inequality indices," Economics Letters, Elsevier, vol. 117(1), pages 189-191.
  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. Marco Brambilla & Alessandra Michelangeli & Eugenio Peluso, 2013. "Equity in the City: On Measuring Urban (Ine)quality of Life," Urban Studies, Urban Studies Journal Limited, Urban Studies Journal Limited, vol. 50(16), pages 3205-3224, December.
  8. Martyna Kobus, 2014. "Multidimensional polarization for ordinal data," Working Papers 326, ECINEQ, Society for the Study of Economic Inequality.
  9. 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.
  10. 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.
  11. Martyna Kobus, 2010. "Decomposition of Bivariate Inequality Indices by Attributes Revisited," Working Papers 2010-07, Faculty of Economic Sciences, University of Warsaw.
  12. 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.

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