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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.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.40394.de/dp345.pdf
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Bibliographic Info

Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 345.

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Length: 6 p.
Date of creation: 2003
Date of revision:
Handle: RePEc:diw:diwwpp:dp345

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Keywords: Inequality; Statistical Inference; Complex Surveys;

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References

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  1. Frank A Cowell & Stephen P Jenkins, 2000. "Estimating Welfare Indices: Household Weights and Sample Design," STICERD - Distributional Analysis Research Programme Papers 48, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  2. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 27-41, September.
  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. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, vol. 108(2), pages 317-342, June.
  5. Thistle, Paul D, 1990. "Large Sample Properties of Two Inequality Indices," Econometrica, Econometric Society, vol. 58(3), pages 725-28, May.
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Cited by:
  1. 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.
  2. Djavad Salehi-Isfahani, 2009. "Poverty, inequality, and populist politics in Iran," Journal of Economic Inequality, Springer, vol. 7(1), pages 5-28, March.
  3. Juan Ramón García, . "La desigualdad salarial en España. Efectos de un diseño muestral complejo," Working Papers 2003-26, FEDEA.
  4. 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.

Lists

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  1. Atkinson index in Wikipedia (English)
  2. 앳킨슨지수 in Wikipedia (Korean)

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