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Averaging of moment condition estimators

Authors: Xiaohong Chen , David Jacho-Chávez and Oliver Linton
Date: 21 September 2012
Type: cemmap Working Paper, CWP26/12
DOI: 10.1920/wp.cem.2012.2612

Abstract

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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