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Statistical inference for poverty indices with fixed poverty lines

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  • Ian Rongve

Abstract

The consistency and asymptotic normality of estimators for two classes of poverty indices, decomposable indices, and Sen-like indices is demonstrated. Asymptotic variance expressions are obtained that allow for easy distribution-free statistical inference on the resulting estimates. An empirical example using Canadian microdata demonstrates the feasibility and usefulness of the techniques.

Suggested Citation

  • Ian Rongve, 1997. "Statistical inference for poverty indices with fixed poverty lines," Applied Economics, Taylor & Francis Journals, vol. 29(3), pages 387-392.
    • Handle: RePEc:taf:applec:v:29:y:1997:i:3:p:387-392
    DOI: 10.1080/000368497327173
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    References listed on IDEAS

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    1. Rongve, Ian & Beach, Charles, 1997. "Estimation and Inference for Normative Inequality Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 83-96, February.
    2. Charles M. Beach & Russell Davidson & George A. Slotsve, 1994. "Distribution-Free Statistical Inference for Inequality Dominance with Crossing Lorenz Curves," Working Paper 912, Economics Department, Queen's University.
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    Cited by:

    1. Buhong Zheng, 2004. "Poverty comparisons with dependent samples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(3), pages 419-428.
    2. Lars Osberg & Kuan Xu, 1999. "Poverty Intensity: How Well Do Canadian Provinces Compare?," Canadian Public Policy, University of Toronto Press, vol. 25(2), pages 179-195, June.
    3. 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.
    4. Shan Luo & Gengsheng Qin, 2017. "New non-parametric inferences for low-income proportions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(3), pages 599-626, June.
    5. Russell Davidson, 2006. "Stochastic Dominance," Departmental Working Papers 2006-19, McGill University, Department of Economics.
    6. Georges Heinrich, 1998. "Changing Times, Testing Times: A Bootstrap Analysis of Poverty and Inequality using the PACO Database," CERT Discussion Papers 9802, Centre for Economic Reform and Transformation, Heriot Watt University.
    7. 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.

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