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Two classes of generalized deprivation indexes

  • Paolo Verme

    ()

    (The World Bank and University of Torino)

The paper uses two particular formulations of the Gini index to derive two different relative deprivation measures. We then generalize the formulation of these measures following Donaldson and Weymark (1980) and Berrebi and Silber (1985) and show how these generalizations can be considered as two different classes of indexes. An example illustrates how the use of the two classes of indexes can lead to different results in empirical applications.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2011-202.pdf
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Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 202.

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Length: 12 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2011-202
Contact details of provider: Web page: http://www.ecineq.org
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  1. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-97, October.
  2. Ryscavage, Paul & Lamas, Enrique, 1984. "The Relative Deprivation Curve and Its Applications: Comment," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 398-99, October.
  3. Yitzhaki, Shlomo, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, MIT Press, vol. 93(2), pages 321-24, May.
  4. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-94, October.
  5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  6. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
  7. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  8. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  9. BOSSERT, Walter & D'AMBROSIO, Conchita & PERAGINE, Vito, 2004. "Deprivation and Social Exclusion," Cahiers de recherche 2004-01, Universite de Montreal, Departement de sciences economiques.
  10. Berrebi, Z M & Silber, Jacques, 1985. "Income Inequality Indices and Deprivation: A Generalization [Relative Deprivation and the Gini Coefficient]," The Quarterly Journal of Economics, MIT Press, vol. 100(3), pages 807-10, August.
  11. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  12. Podder, Nripesh, 1996. "Relative Deprivation, Envy and Economic Inequality," Kyklos, Wiley Blackwell, vol. 49(3), pages 353-76.
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