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On Estimating the Poverty Gap and the Poverty Severity Indices With Auxiliary Information

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  • J. F. Muñoz
  • E. Ã lvarez-Verdejo
  • R. M. García-Fernández

Abstract

Many poverty measures are estimated by using sample data collected from social surveys. Two examples are the poverty gap and the poverty severity indices. A novel method for the estimation of these poverty indicators is described. Social surveys usually contain different variables, some of which can be used to improve the estimation of poverty measures. The proposed estimation methodology is based on this idea. The variance estimation and the construction of confidence intervals are also topics addressed in this article. Real survey data, extracted from the European Union Survey on Income and Living Conditions and based on various countries, are used to investigate some empirical properties of our estimators via Monte Carlo simulation studies. Empirical results indicate that the suggested methods can be more accurate than the customary estimator. Desirable results are also obtained for the proposed variances and confidence intervals. Various populations generated from the Gamma distribution also support our findings.

Suggested Citation

  • J. F. Muñoz & E. à lvarez-Verdejo & R. M. García-Fernández, 2018. "On Estimating the Poverty Gap and the Poverty Severity Indices With Auxiliary Information," Sociological Methods & Research, , vol. 47(3), pages 598-625, August.
  • Handle: RePEc:sae:somere:v:47:y:2018:i:3:p:598-625
    DOI: 10.1177/0049124115626178
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    References listed on IDEAS

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    1. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    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. Davidson, Russell & Flachaire, Emmanuel, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Journal of Econometrics, Elsevier, vol. 141(1), pages 141-166, November.
    4. Zheng, Buhong, 2001. "Statistical inference for poverty measures with relative poverty lines," Journal of Econometrics, Elsevier, vol. 101(2), pages 337-356, April.
    5. Bastos, Amélia & Casaca, Sara F. & Nunes, Francisco & Pereirinha, José, 2009. "Women and poverty: A gender-sensitive approach," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(5), pages 764-778, October.
    6. Ravallion, Martin, 1996. "Issues in Measuring and Modelling Poverty," Economic Journal, Royal Economic Society, vol. 106(438), pages 1328-1343, September.
    7. Frick, Joachim R. & Grabka, Markus M. & Groh-Samberg, Olaf, 2012. "Dealing With Incomplete Household Panel Data in Inequality Research," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 41(1), pages 89-123.
    8. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    9. Duangkamon Chotikapanich & William E. Griffiths, 2008. "Estimating Income Distributions Using a Mixture of Gamma Densities," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 16, pages 285-302, Springer.
    10. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    11. James B. McDonald, 2008. "Some Generalized Functions for the Size Distribution of Income," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55, Springer.
    12. Brennan S. Thompson, 2013. "Empirical Likelihood-Based Inference for Poverty Measures with Relative Poverty Lines," Econometric Reviews, Taylor & Francis Journals, vol. 32(4), pages 513-523, December.
    13. J. Muñoz & E. Álvarez-Verdejo & R. García-Fernández & L. Barroso, 2015. "Efficient Estimation of the Headcount Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 123(3), pages 713-732, September.
    14. Tindara Addabbo & Maria Laura Di Tommaso & Anna Maccagnan, 2014. "Gender Differences in Italian Children's Capabilities," Feminist Economics, Taylor & Francis Journals, vol. 20(2), pages 90-121, April.
    15. Salem, A B Z & Mount, T D, 1974. "A Convenient Descriptive Model of Income Distribution: The Gamma Density," Econometrica, Econometric Society, vol. 42(6), pages 1115-1127, November.
    16. Ravallion, M., 1992. "Poverty Comparisons - A Guide to Concepts and Methods," Papers 88, World Bank - Living Standards Measurement.
    17. Foster, James E, 1998. "Absolute versus Relative Poverty," American Economic Review, American Economic Association, vol. 88(2), pages 335-341, May.
    18. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    19. Tindara Addabbo, 2000. "Poverty Dynamics: Analysis of Household Incomes in Italy," LABOUR, CEIS, vol. 14(1), pages 119-144, March.
    20. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    21. 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.
    22. María Mar Rueda & Juan Muñoz, 2011. "Estimation of poverty measures with auxiliary information in sample surveys," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(3), pages 687-700, April.
    23. Jonathan Haughton & Shahidur R. Khandker, 2009. "Handbook on Poverty and Inequality," World Bank Publications - Books, The World Bank Group, number 11985.
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