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The Social Welfare Implications, Decomposability, and Geometry of the Sen Family of Poverty Indices

  • Kuan Xu
  • Lars Osberg

    ()

    (Department of Economics, Dalhousie University)

This paper proposes a unified framework for the Sen indices of poverty intensity, which shows an explicit connection between the indices and the common underlying social evaluation function. This paper also identifies the common multiplicative decomposition of the indices that allows simple and similar geometric interpretations, easy numerical computation, and common subgroup decompositions. These results are useful to policy analysis.

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File URL: http://www.economics.dal.ca/RePEc/dal/wparch/sendeco.pdf
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Paper provided by Dalhousie, Department of Economics in its series Department of Economics at Dalhousie University working papers archive with number sendeco.

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Length: 27 pages
Date of creation: 27 Oct 2000
Date of revision:
Handle: RePEc:dal:wparch:sendeco
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  1. Fei, John C H & Rainis, Gustav & Kuo, Shirley W Y, 1978. "Growth and the Family Distribution of Income by Factor Components," The Quarterly Journal of Economics, MIT Press, vol. 92(1), pages 17-53, February.
  2. Lars Osberg, 2000. "Poverty in Canada and the United States: measurement, trends, and implications," Canadian Journal of Economics, Canadian Economics Association, vol. 33(4), pages 847-877, November.
  3. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  4. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-26, June.
  5. Thon, Dominique, 1979. "On Measuring Poverty," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 25(4), pages 429-39, December.
  6. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-30, September.
  7. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
  8. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-27, July.
  9. Uzi Segal & Avia Spivak, 1988. "First Order Versus Second Order Risk Aversion," UCLA Economics Working Papers 540, UCLA Department of Economics.
  10. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-85, November.
  11. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, March.
  12. Bishop, John A & Formby, John P & Zheng, Buhong, 1997. "Statistical Inference and the Sen Index of Poverty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 381-87, May.
  13. Shelley Phipps, . "Economics and Well-Being of Canadian Children," Canadian International Labour Network Working Papers 35, McMaster University.
  14. Osberg, L & Xu, K, 1997. "International Comparisons of Poverty Intensity : Index Decomposition and Bootstrap Inference," Department of Economics at Dalhousie University working papers archive 97-03, Dalhousie, Department of Economics.
  15. Takayama, Noriyuki, 1979. "Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered," Econometrica, Econometric Society, vol. 47(3), pages 747-59, May.
  16. Blakorby, Charles & Donaldson, David, 1980. "Ethical Indices for the Measurement of Poverty," Econometrica, Econometric Society, vol. 48(4), pages 1053-60, May.
  17. Karni, E. & Safra, Z., 1988. "Rank-Dependent Probabilities," Papers 11-88, Tel Aviv.
  18. Satya Ranjan Chakravarty, 1983. "Ethically Flexible Measures of Poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 74-85, February.
  19. 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.
  20. Ian Rongve, 1997. "Statistical inference for poverty indices with fixed poverty lines," Applied Economics, Taylor & Francis Journals, vol. 29(3), pages 387-392.
  21. Lars Osberg & Kuan Xu, 1999. "Poverty Intensity: How Well Do Canadian Provinces Compare?," Canadian Public Policy, University of Toronto Press, vol. 25(2), pages 179-195, June.
  22. Myles, John & Picot, Garnett, 2000. "Poverty Indices and Policy Analysis," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(2), pages 161-79, June.
  23. Bourguignon, Francois & Fields, Gary, 1997. "Discontinuous losses from poverty, generalized P[alpha] measures, and optimal transfers to the poor," Journal of Public Economics, Elsevier, vol. 63(2), pages 155-175, January.
  24. Satya R. Chakravarty, 1997. "On Shorrocks' Reinvestigation of the Sen Poverty Index," Econometrica, Econometric Society, vol. 65(5), pages 1241-1242, September.
  25. Donaldson, David & Weymark, John A, 1986. "Properties of Fixed-Population Poverty Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 667-88, October.
  26. Birdsall, Nancy & Londono, Juan Luis, 1997. "Asset Inequality Matters: An Assessment of the World Bank's Approach to Poverty Reduction," American Economic Review, American Economic Association, vol. 87(2), pages 32-37, May.
  27. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-66, May.
  28. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975, March.
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