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cemmap Working Papers
September 2012 CWP26/12
Article
Averaging of moment condition estimators
Type: cemmap Working Papers
Authors: Xiaohong Chen, David T. Jacho-Chavez and Oliver Linton
JEL classification: C12, C13, C14
Keywords: Instrumental Variables; Minimum Distance; Semiparametric Efficiency; Two-Stage Least Squares

We establish the consistency and asymptotic normality for a class of estimators that are linear combinations of a set of √ n− consistent estimators whose cardinality increases with sample size. A special case of our framework corresponds to the conditional moment restriction and the implied estimator in that case is shown to achieve the semiparametric efficiency bound. The proofs do not rely on smoothness of underlying criterion functions.

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