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Estimation of Generalized Entropy and Atkinson inequality indices from survey data

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  • Biewen, Martin
  • Jenkins, Stephen P.

Abstract

Applying a method suggested by Woodruff (Journal of the American Statistical Association, 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

  • Biewen, Martin & Jenkins, Stephen P., 2003. "Estimation of Generalized Entropy and Atkinson inequality indices from survey data," ISER Working Paper Series 2003-11, Institute for Social and Economic Research.
  • Handle: RePEc:ese:iserwp:2003-11
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    File URL: https://www.iser.essex.ac.uk/research/publications/working-papers/iser/2003-11.pdf
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    References listed on IDEAS

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    1. Cowell, Frank A. & Jenkins, Stephen P., 2000. "Estimating welfare indices: household weights and sample design," ISER Working Paper Series 2000-23, Institute for Social and Economic Research.
    2. Thistle, Paul D, 1990. "Large Sample Properties of Two Inequality Indices," Econometrica, Econometric Society, vol. 58(3), pages 725-728, May.
    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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    Cited by:

    1. Juan Ramón García López, "undated". "El diseño complejo de la encuesta de estructura salarial 1995: Implicaciones sobre la estimación de medidas de desigualdad," Working Papers 2003-24, FEDEA.
    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.

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