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The social welfare implications, decomposability, and geometry of the Sen family of poverty indices

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Author Info
Kuan Xu
Lars Osberg

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Abstract

In this paper, we propose a unified framework for the Sen indices of poverty intensity that shows an explicit connection between the indices and the common underlying social evaluation function. We also identify the common multiplicative decomposition of the indices that allows simple and similar geometric interpretations and easy numerical computation.

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Article provided by Canadian Economics Association in its journal Canadian Journal of Economics.

Volume (Year): 35 (2002)
Issue (Month): 1 (February)
Pages: 138-152
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Handle: RePEc:cje:issued:v:35:y:2002:i:1:p:138-152

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Find related papers by JEL classification:
C00 - Mathematical and Quantitative Methods - - General - - - General
H00 - Public Economics - - General - - - General
O15 - Economic Development, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Myles, John & Picot, Garnett, 2000. "Poverty Indices and Policy Analysis," Review of Income and Wealth, Blackwell Publishing, vol. 46(2), pages 161-79, June.
  2. 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. [Downloadable!] (restricted)
  3. Satya R. Chakravarty, 1997. "On Shorrocks' Reinvestigation of the Sen Poverty Index," Econometrica, Econometric Society, vol. 65(5), pages 1241-1242, September.
  4. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June. [Downloadable!] (restricted)
    Other versions:
  5. Rongve, Ian, 1997. "Statistical Inference for Poverty Indices with Fixed Poverty Lines," Applied Economics, Taylor and Francis Journals, vol. 29(3), pages 387-92, March. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Satya Ranjan Chakravarty, 1983. "Ethically Flexible Measures of Poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 74-85, February. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Blakorby, Charles & Donaldson, David, 1980. "Ethical Indices for the Measurement of Poverty," Econometrica, Econometric Society, vol. 48(4), pages 1053-60, May. [Downloadable!] (restricted)
  13. 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.
  14. 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. [Downloadable!] (restricted)
  15. 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. [Downloadable!] (restricted)
  16. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
  18. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-66, May. [Downloadable!] (restricted)
  19. 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.
  20. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-30, September. [Downloadable!] (restricted)
  21. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  22. Thon, Dominique, 1979. "On Measuring Poverty," Review of Income and Wealth, Blackwell Publishing, vol. 25(4), pages 429-39, December.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Stephen P. Jenkins & Philippe VanKerm, 2003. "Trends in Income Inequality, Pro-Poor Income Growth and Income Mobility," Discussion Papers of DIW Berlin 377, DIW Berlin, German Institute for Economic Research. [Downloadable!]
    Other versions:
  2. Kuan Xu, 2003. "How Has the Literature on Gini's Index Evolved in the Past 80 Years?," Department of Economics at Dalhousie University working papers archive howgini, Dalhousie, Department of Economics. [Downloadable!]
  3. repec:ese:iserwp: is not listed on IDEAS
  4. Ian Irvine & Kuan Xu, 2002. "Crime, Punishment and Poverty in the United States," Department of Economics at Dalhousie University working papers archive uspov, Dalhousie, Department of Economics. [Downloadable!]
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