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Estimation of Generalized Entropy and Atkinson Inequality Indices from Complex Survey Data

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  • Martin Biewen
  • Stephen P. Jenkins

Abstract

Applying a method suggested by Woodruff (1971), we derive the sampling variances of Generalized Entropy and Atkinson inequality indices when estimated from complex survey data. It turns out that this method also greatly simplifies the calculations for the i.i.d. case when compared to previous derivations in the literature. Both cases are illustrated with examples from the German Socio-Economic Panel Study and the British Household Panel Survey.

Suggested Citation

  • Martin Biewen & Stephen P. Jenkins, 2003. "Estimation of Generalized Entropy and Atkinson Inequality Indices from Complex Survey Data," Discussion Papers of DIW Berlin 345, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp345
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    References listed on IDEAS

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    1. Thistle, Paul D, 1990. "Large Sample Properties of Two Inequality Indices," Econometrica, Econometric Society, vol. 58(3), pages 725-728, May.
    2. P. Jenkins, Stephen & A. Cowell, Frank, 2000. "Estimating welfare indices: household weights and sample design," ISER Working Paper Series 2000-23, Institute for Social and Economic Research.
    3. Christian Schluter & Mark Trede, 2002. "Statistical Inference for Inequality and Poverty Measurement with Dependent Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 493-508, May.
    4. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
    5. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
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    2. Fiorio, Carlo V., 2006. "Understanding inequality trends: microsimulation decomposition for Italy," LSE Research Online Documents on Economics 6544, London School of Economics and Political Science, LSE Library.
    3. Amavilah, Voxi Heinrich, 2016. "The 'Common Goood' in Pope Francis's Social Welfare Hypothesis," MPRA Paper 71760, University Library of Munich, Germany.
    4. Juan Ramón García, "undated". "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.
    5. Chiara Mussida & Maria Laura Parisi, 2016. "The effect of economic crisis on regional income inequality in Italy," DISCE - Quaderni del Dipartimento di Scienze Economiche e Sociali dises1614, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    6. Eduardo Michel Camacho & Willy W. Cortez, 2012. "Distribución del ingreso y bienestar social en México 1984-2008," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 27(2), pages 347-378.
    7. Leighton, Margaret & Speer, Jamin D., 2020. "Labor market returns to college major specificity," European Economic Review, Elsevier, vol. 128(C).
    8. Djavad Salehi-Isfahani, 2009. "Poverty, inequality, and populist politics in Iran," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(1), pages 5-28, March.

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    More about this item

    Keywords

    Inequality; Statistical Inference; Complex Surveys;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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