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Fixed Effects, Invariance, and Spatial Variation in Intergenerational Mobility

Gary Chamberlain

American Economic Review · 2016 · Volume 106 · Issue 5

DOI: 10.1257/aer.p20161082

Abstract

Chetty et al. (2014) document variation across commuting zones in intergenerational mobility. With over 700 commuting zones, the task of estimating place effects involves a high-dimension parameter space. I develop a fixed-effects model along with an oracle bound on the risk of invariant estimators. The oracle estimator uses an invariant prior, which I have incorporated into a random-effects model to obtain a feasible estimator. This estimator almost achieves the oracle bound over the relevant part of the (fixed-effects) parameter space in the empirical application. There is substantial reduction in risk compared with the least-squares estimator.

Keywords

Single Equation Models, Single Variables: Panel Data Models, Spatio-temporal Models, Job, Occupational, and Intergenerational Mobility, Promotion

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