A Note on the Estimation of Intergenerational Income Correlations by the Method of Averaging
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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- 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.
- Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-29, June.
- 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, .
- 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.
- Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June.
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