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Consistent Testing for Poverty Dominance

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  • Bram Thuysbaert
  • Ricardas Zitikis

Abstract

If uncertainty exists over the exact location of the poverty line or over which measure to use to compare poverty between distributions, one may want to check whether poverty dominance holds. We develop a consistent statistical test to test the null of poverty dominance against the alternative of nondominance. Dominance criteria corresponding to absolute and relative poverty measures are dealt with. The poverty line is allowed to depend on the income distribution. A bootstrap procedure is proposed to estimate critical values for the test. Our results cover both independent and paired samples.

Suggested Citation

  • Bram Thuysbaert & Ricardas Zitikis, 2005. "Consistent Testing for Poverty Dominance," WIDER Working Paper Series RP2005-64, World Institute for Development Economic Research (UNU-WIDER).
    • Handle: RePEc:unu:wpaper:rp2005-64
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    File URL: https://www.wider.unu.edu/sites/default/files/rp2005-64.pdf
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    References listed on IDEAS

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    1. Horvath, Lajos & Kokoszka, Piotr & Zitikis, Ricardas, 2006. "Testing for stochastic dominance using the weighted McFadden-type statistic," Journal of Econometrics, Elsevier, vol. 133(1), pages 191-205, July.
    2. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    3. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-764, July.
    4. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    5. Foster, James E & Shorrocks, Anthony F, 1988. "Poverty Orderings," Econometrica, Econometric Society, vol. 56(1), pages 173-177, January.
    6. Zheng, Buhong, 2001. "Statistical inference for poverty measures with relative poverty lines," Journal of Econometrics, Elsevier, vol. 101(2), pages 337-356, April.
    7. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    8. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    Cited by:

    1. Gaston Yalonetzky, 2013. "Stochastic Dominance with Ordinal Variables: Conditions and a Test," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 126-163, January.

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