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Statistical Inference and Decomposable Poverty Measures

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  • Bishop, John A
  • Chow, K Victor
  • Zheng, Buhong

Abstract

The paper develops simple statistical test procedures for generalized decomposable poverty measures. It is shown that the estimates of the decomposable poverty indices, including the overall and various sub-group poverty indices, have (asymptotic) jointly normal distributions. The full variance-covariance structure is derived and can be estimated consistently without prior specification of the population density underlying the sample data. The (overall/decomposed) poverty indices can thus be used as tools for statistical inference instead of simply as descriptive statistics. We illustrate the test procedure by examining the contributions of whites and non-whites to total U.S. poverty in 1975 and 1985. Copyright 1995 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research

Suggested Citation

  • Bishop, John A & Chow, K Victor & Zheng, Buhong, 1995. "Statistical Inference and Decomposable Poverty Measures," Bulletin of Economic Research, Wiley Blackwell, vol. 47(4), pages 329-340, October.
  • Handle: RePEc:bla:buecrs:v:47:y:1995:i:4:p:329-40
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    Citations

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    Cited by:

    1. Kenneth R. Simler & Channing Arndt, 2007. "Poverty Comparisons With Absolute Poverty Lines Estimated From Survey Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(2), pages 275-294, June.
    2. Stephen Bazen & Xavier Joutard & Mouhamadou Niang, 2014. "The measurement of unemployment using completed durations: evidence on the gender gap in unemployment in France," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(4), pages 517-534, December.
    3. Simler, Kenneth R. & Arndt, Channing, 2006. "Poverty Comparisons with Endogenous Absolute Poverty Lines," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25775, International Association of Agricultural Economists.
    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. John Bishop & Andrew Grodner & Haiyong Liu & Ismael Ahamdanech-Zarco, 2014. "Subjective poverty equivalence scales for Euro Zone countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(2), pages 265-278, June.
    6. Osberg, Lars, 2002. "Trends in poverty: the UK in international perspective: how rates mislead and intensity matters," ISER Working Paper Series 2002-10, Institute for Social and Economic Research.
    7. Gabriela Flores & Jaya Krishnakumar & Sudip Ranjan Basu, 2004. "Demand System Estimations and Welfare Comparisons: Application to Indian Household Data," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.13, Institut d'Economie et Econométrie, Université de Genève.
    8. Buhong Zheng, 2004. "Poverty comparisons with dependent samples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(3), pages 419-428.
    9. Robert H. DeFina, 2002. "The impact of unemployment on alternative poverty measures," Working Papers 02-8, Federal Reserve Bank of Philadelphia.
    10. Michal Brzezinski, 2011. "Variance Estimation for Richness Measures," LWS Working papers 11, LIS Cross-National Data Center in Luxembourg.
    11. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
    12. Sudip Ranjan Basu & Jaya Krishnakumar & Gabriela Flores, 2004. "Spatial Distribution of Welfare Across States and Different Socio-Economic Groups in Rural and Urban India," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.14, Institut d'Economie et Econométrie, Université de Genève.
    13. Osberg, L. & Xu, K., 1998. "Poverty Intensity- How Well Does Canada Compare? ," Department of Economics at Dalhousie University working papers archive 98-05, Dalhousie, Department of Economics.
    14. Russell Davidson, 2006. "Stochastic Dominance," Departmental Working Papers 2006-19, McGill University, Department of Economics.
    15. Ingvild Almås, 2008. "Equalizing Income Versus Equalizing Opportunity: A Comparison of the United States and Germany," LIS Working papers 476, LIS Cross-National Data Center in Luxembourg.
    16. Robert H. DeFina, 2007. "A comparison of poverty trends and policy impacts for working families using different poverty indexes," Working Papers 07-13, Federal Reserve Bank of Philadelphia.
    17. Channing Arndt & Kenneth R. Simler, 2007. "Consistent poverty comparisons and inference," Agricultural Economics, International Association of Agricultural Economists, vol. 37(2-3), pages 133-139, September.
    18. Stephen Bazen & Xavier Joutard & Mouhamadou M. Niang, 2012. "The Duration-Based Measurement of Unemployment: Estimation Issues and an Application to Male-Female Unemployment Differences in France," Working Papers halshs-00793056, HAL.

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