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A Note on the Estimation of Intergenerational Income Correlations by the Method of Averaging

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  • Ramses H. Abul Naga

Abstract

Averaging methods are routinely used in order to limit biases resulting from the mismeasurement of permanent incomes. The Solon/Zimmerman estimator regresses a single-year measurement of the child's resources on a T-period average of the parents' income while the Behrman/Taubman estimator regresses an S-period average of the child's resources on a T-period average of the parents' income. The latter estimator is shown to be the arithmetic mean of the S slope estimates arising from the Solon/Zimmerman methodology. However, because sampling variation produces yearly changes in the variance of children's incomes, it is shown that the Behrman/Taubman estimator is not efficient in the class of estimators which can be expressed as a weighted sum of the S distinct Solon/Zimmerman estimates. The minimum variance estimator in the above class is thus derived and applied to a US sample.

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Bibliographic Info

Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Distributional Analysis Research Programme Papers with number 54.

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Date of creation: Jan 2001
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Handle: RePEc:cep:stidar:54

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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

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Keywords: Welfare index; inequality; poverty; sample; inference.;

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  1. Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-29, June.
  2. Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June.
  3. Behrman, Jere R & Taubman, Paul, 1990. "The Intergenerational Correlation between Children's Adult Earnings and Their Parents' Income: Result from the Michigan Panel Survey of Income Dynamics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 36(2), pages 115-27, June.
  4. Bowles, Samuel, 1972. "Schooling and Inequality from Generation to Generation," Journal of Political Economy, University of Chicago Press, vol. 80(3), pages S219-S51, Part II, .
  5. Bjorklund, Anders & Jantti, Markus, 1997. "Intergenerational Income Mobility in Sweden Compared to the United States," American Economic Review, American Economic Association, vol. 87(5), pages 1009-18, December.
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