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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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  • Sreenivasan Subramanian

Abstract

This note advances a family of poverty measures, Πα, which are derived as simple, normalized Minkowski distance functions. The Πα indices turn out to be the αth roots of the corresponding Foster, Greer and Thorbecke Pα indices. The re-calibration of Pα terms of Πα could have certain possible advantages, which are reviewed in the note.

Suggested Citation

  • Sreenivasan Subramanian, 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 RP2004-10, World Institute for Development Economic Research (UNU-WIDER).
    • Handle: RePEc:unu:wpaper:rp2004-10
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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. Shorrocks, Anthony F, 1982. "On the Distance between Income Distributions [Inequality Measures between Income Distributions with Applications]," Econometrica, Econometric Society, vol. 50(5), pages 1337-1339, September.
    3. 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.
    4. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
    5. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    6. 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.
    7. 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. Sreenivasan Subramanian, 2005. "Reckoning Inter-Group Poverty Differentials in the Measurement of Aggregate Poverty," WIDER Working Paper Series RP2005-59, World Institute for Development Economic Research (UNU-WIDER).
    3. James Foster & Joel Greer & Erik Thorbecke, 2010. "The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 491-524, December.
    4. 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; Poverty measurement;

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