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Restricted Inequality and Relative Poverty

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Author Info

  • Paul Makdissi

    ()
    (Département d'économique, Université de Sherbrooke)

  • Jean-Yves Duclos

    ()
    (Pavillon De sève, Université Laval, Sainte-Foy, Québec, Canada)

Abstract

This paper develops criteria for a new concept of restricted inequality dominance and show how they relate to criteria for comparing relative poverty. The results warn against the use of some popular indices of inequality.\ They do, however, suggest an interesting extension of the Schutz coefficient as well as a use of Lorenz curves for the analysis of relative poverty and restricted inequality. We also illustrate graphically how the new criteria of restricted inequality dominance extend the ranking power of previously proposed inequality dominance criteria.

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File URL: http://gredi.recherche.usherbrooke.ca/wpapers/01_06_pm.pdf
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Bibliographic Info

Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 01-06.

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Length: 33 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:shr:wpaper:01-06

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Postal: Sherbrooke, Québec, J1K 2R1
Phone: (819) 821-7233
Fax: (819) 821-6930
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Web page: http://www.gredi.org/home/documents-de-travail
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Keywords: Inequality; Poverty; Stochastic Dominance;

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References

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  1. Zheng, Buhong, et al, 2000. "Inequality Orderings, Normalized Stochastic Dominance, and Statistical Inference," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 479-88, October.
  2. Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
  3. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
  4. Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
  5. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
  6. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
  7. Chakravarty, Satya R., 1983. "A new index of poverty," Mathematical Social Sciences, Elsevier, vol. 6(3), pages 307-313, December.
  8. Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Research Department of Statistics Norway.
  9. Jean-Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, 02.
  10. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
  11. Davies James & Hoy Michael, 1994. "The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions," Journal of Economic Theory, Elsevier, vol. 64(2), pages 520-530, December.
  12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  13. Buhong Zheng, 2001. "Poverty orderings: A graphical illustration," Social Choice and Welfare, Springer, vol. 18(1), pages 165-178.
  14. Sutherland, Holly & Immervoll, Herwig & O'Donoghue, Cathal, 1999. "An introduction to EUROMOD," EUROMOD Working Papers EM0/99, EUROMOD at the Institute for Social and Economic Research.
  15. Ravallion, Martin, 1994. "Measuring Social Welfare with and without Poverty Lines," American Economic Review, American Economic Association, vol. 84(2), pages 359-64, May.
  16. Blakorby, Charles & Donaldson, David, 1980. "Ethical Indices for the Measurement of Poverty," Econometrica, Econometric Society, vol. 48(4), pages 1053-60, May.
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Citations

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Cited by:
  1. Jean-Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, 02.
  2. Pene Kalulumia & Denis Bolduc, 2004. "Generalized Mixed Estimation Of A Multinomial Discretecontinuous Choice Model For Electricity Demand," Cahiers de recherche 04-01, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  3. Petr Hanel, 2003. "Impact Of Government Support Programs On Innovation By Canadian Manufacturing Firms," Cahiers de recherche 04-02, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  4. Alex Siméon & Dorothée Boccanfuso, 2006. "Pauvreté, croissance et redistribution en Haïti," Cahiers de recherche 06-17, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  5. Jean-Yves Duclos, 2006. "Liberté ou égalité?," Cahiers de recherche 0630, CIRPEE.
  6. Sabourin, David & Baldwin, John R. & Hanel, Peter, 2000. "Les determinants des activites d'innovation dans les entreprises de fabrication canadiennes : le role des droits de propriete intellectuelle," Direction des etudes analytiques : documents de recherche 2000122f, Statistics Canada, Direction des etudes analytiques.
  7. Petr Hanel & Snezana VUCIC, 2002. "L’Impact Économique Des Activités De Recherche De L’Université De Sherbrooke," Cahiers de recherche 02-04, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  8. Pene Kalulumia, 2002. "Effects of government debt on interest rates: evidence from causality tests in johansen-type models," Cahiers de recherche 02-07, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  9. Paul Makdissi & Cyril Téjédo, 2000. "Problèmes d’appariement et politique de l’emploi," Cahiers de recherche 00-04, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.

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