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A Re-scaled Version of the Foster-Greer-Thorbecke Poverty Indices based on an Association with the Minkowski Distance Function

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  • Subramanian, S.

Abstract

This note advances a family of poverty measures, ??, which are derived as simple, normalized Minkowski distance functions. The ?? indices turn out to be the ?th roots of the corresponding Foster, Greer and Thorbecke P? indices. The re-calibration of P? terms of ?? could have certain possible advantages, which are reviewed in the note. While the ?? indices are not decomposable in the ordinarily understood sense of that term, they are amenable to the completely general decomposition procedure advanced by Shorrocks (?Decomposition Procedures for Distributional Analysis: A Unified Framework Based on the Shapley Value?) and discussed, here, as an application in the poverty context.

Suggested Citation

  • Subramanian, S., 2004. "A Re-scaled Version of the Foster-Greer-Thorbecke Poverty Indices based on an Association with the Minkowski Distance Function," WIDER Working Paper Series 010, World Institute for Development Economic Research (UNU-WIDER).
  • Handle: RePEc:unu:wpaper:rp2004-10
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    File URL: http://www.wider.unu.edu/sites/default/files/rp2004-010.pdf
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    References listed on IDEAS

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    1. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    2. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
    3. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
    4. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    5. Takayama, Noriyuki, 1979. "Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered," Econometrica, Econometric Society, vol. 47(3), pages 747-759, May.
    6. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April.
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    Cited by:

    1. Srijit Mishra & Hippu Salk Kristle Nathan, 2008. "On A Class of Human Development Index Measures," Development Economics Working Papers 22340, East Asian Bureau of Economic Research.
    2. James E. Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later," Working Papers 2010-14, The George Washington University, Institute for International Economic Policy.

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    Keywords

    poverty measures; decomposition;

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