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Revisiting Poverty Measures Using Quantile Functions

Author

Listed:
  • Nair Unnikrishnan

  • S.M. Sunoj

  • Namitha Suresh

Abstract

In this article we redefine various poverty measures in literature in terms of quantile functions instead of distribution functions in the prevailing approach. This enables provision for alternative methodology for poverty measurement and analysis along with some new results that are difficult to obtain in the existing framework. Several flexible quantile function models that can enrich the existing ones are proposed and their utility is demonstrated for real data.

Suggested Citation

  • Nair Unnikrishnan & S.M. Sunoj & Namitha Suresh, 2025. "Revisiting Poverty Measures Using Quantile Functions," LIS Working papers 909, LIS Cross-National Data Center in Luxembourg.
    • Handle: RePEc:lis:liswps:909
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    References listed on IDEAS

    as
    1. Haritha N. Haridas & N. Unnikrishnan Nair & K.R. Muraleedharan Nair, 2008. "Modelling Income Using the Generalised Lambda Distribution," Journal of Income Distribution, Ad libros publications inc., vol. 17(2), pages 37-51, June.
    2. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    3. Kakwani, N C & Podder, N, 1973. "On the Estimation of Lorenz Curves from Grouped Observations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 278-292, June.
    4. repec:bla:revinw:v:37:y:1991:i:4:p:447-52 is not listed on IDEAS
    5. Gupta, Manash Ranjan, 1984. "Functional Form for Estimating the Lorenz Curve," Econometrica, Econometric Society, vol. 52(5), pages 1313-1314, September.
    6. Satya R. Chakravarty, 2019. "On Shorrocks’ Reinvestigation of the Sen Poverty Index," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 27-29, Springer.
    7. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    8. Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
    9. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    10. P. Ortega & G. Martín & A. Fernández & M. Ladoux & A. García, 1991. "A New Functional Form For Estimating Lorenz Curves," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(4), pages 447-452, December.
    11. Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-526, June.
    12. N. Unnikrishnan Nair & Silpa Subhash & S. M. Sunoj, 2024. "A Simple Method of Estimation and Testing Based on Q–Q Plots," SN Operations Research Forum, Springer, vol. 5(3), pages 1-15, September.
    13. Satya R. Chakravarty, 2019. "Ethically Flexible Measures of Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 13-26, Springer.
    14. Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
    15. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
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