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

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Author Info

  • Biewen, Martin

    () (University of Tuebingen)

  • Jenkins, Stephen P.

    () (London School of Economics)

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.

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Bibliographic Info

Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 763.

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Length: 10 pages
Date of creation: Apr 2003
Date of revision:
Publication status: published as 'Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case' in: Oxford Bulletin of Economics and Statistics, 2006, 68 (3), 371-383
Handle: RePEc:iza:izadps:dp763

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Keywords: statistical inference; complex surveys; inequality;

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References

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  1. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
  2. Thistle, Paul D, 1990. "Large Sample Properties of Two Inequality Indices," Econometrica, Econometric Society, vol. 58(3), pages 725-28, May.
  3. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
  4. Frank A. Cowell & Stephen P. Jenkins, 2000. "Estimating Welfare Indices: Household Weights and Sample Design," Discussion Papers of DIW Berlin 219, DIW Berlin, German Institute for Economic Research.
  5. 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.
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Cited by:
  1. Juan Ramón García López, . "El diseño complejo de la encuesta de estructura salarial 1995: Implicaciones sobre la estimación de medidas de desigualdad," Working Papers 2003-24, FEDEA.
  2. Djavad Salehi-Isfahani, 2007. "Poverty, Inequality, and Populist Politics in Iran," Working Papers e07-1, Virginia Polytechnic Institute and State University, Department of Economics.
  3. Carlo V. Fiorio, 2006. "Understanding Inequality Trends:Microsimulation Decomposition for Italy," STICERD - Distributional Analysis Research Programme Papers 78, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  4. Juan Ramón García, . "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.

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  1. Atkinson index in Wikipedia (English)

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