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Conditions for the most robust multidimensional poverty comparisons using counting measures and ordinal variables

  • Gaston Yalonetzky

    ()

    (University of Leeds & OPHI)

A natural concern with multivariate poverty measures, as well as with other composite indices, is the robustness of their ordinal comparisons to changes in the indices’ parameter values. Applying multivariate stochastic dominance techniques, this paper derives the distributional conditions under which a multidimensional poverty comparison based on the popular counting measures, and ordinal variables, is fully robust to any values of the indices.parameters. As the paper shows, the conditions are relevant to most of the multidimensional poverty indices in the literature, including the Alkire-Foster family, upon which the UNDP.s "Multidimensional Poverty Index" (MPI) is based. The conditions are illustrated with an example from the EU-SILC dataset.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2012-257.pdf
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Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 257.

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Length: 24 pages
Date of creation: Jun 2012
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2012-257
Contact details of provider: Web page: http://www.ecineq.org
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  1. Walter Bossert & Satya R. Chakravarty & Conchita D'Ambrosio, 2009. "Multidimensional poverty and material deprivation," Working Papers 129, ECINEQ, Society for the Study of Economic Inequality.
  2. Ian Crawford, 2005. "A nonparametric test of stochastic dominance in multivariate distributions," School of Economics Discussion Papers 1205, School of Economics, University of Surrey.
  3. Diego Battiston & Guillermo Cruces & Luis Lopez-Calva & Maria Lugo & Maria Santos, 2013. "Income and Beyond: Multidimensional Poverty in Six Latin American Countries," Social Indicators Research, Springer, vol. 112(2), pages 291-314, June.
  4. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," Journal of Economic Inequality, Springer, vol. 1(1), pages 51-65, April.
  5. Yélé Batana, 2013. "Multidimensional Measurement of Poverty Among Women in Sub-Saharan Africa," Social Indicators Research, Springer, vol. 112(2), pages 337-362, June.
  6. Duclos, Jean-Yves & Sahn, David & Younger, Stephen D., 2001. "Robust Multidimensional Poverty Comparisons," Cahiers de recherche 0115, Université Laval - Département d'économique.
  7. Sen, Amartya, 2001. "Development as Freedom," OUP Catalogue, Oxford University Press, number 9780192893307, March.
  8. François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," Journal of Economic Inequality, Springer, vol. 1(1), pages 25-49, April.
  9. 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.
  10. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
  11. Sabina Alkire & Maria Emma Santos, 2010. "Acute Multidimensional Poverty: A New Index for Developing Countries," Human Development Research Papers (2009 to present) HDRP-2010-11, Human Development Report Office (HDRO), United Nations Development Programme (UNDP).
  12. Ma. Casilda Lasso de la Vega, 2009. "Counting poverty orderings and deprivation curves," Working Papers 150, ECINEQ, Society for the Study of Economic Inequality.
  13. Kai-yuen Tsui, 2002. "Multidimensional poverty indices," Social Choice and Welfare, Springer, vol. 19(1), pages 69-93.
  14. Gaston Yalonetzky, 2013. "Stochastic Dominance with Ordinal Variables: Conditions and a Test," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 126-163, January.
  15. Satya R. Chakravarty & Conchita D'Ambrosio, 2006. "The Measurement Of Social Exclusion," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 52(3), pages 377-398, 09.
  16. Ravallion, Martin, 2010. "Mashup indices of development," Policy Research Working Paper Series 5432, The World Bank.
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