Plausible GMM: A Quasi-Bayesian Approach
Victor Chernozhukov,
Christian B. Hansen,
Lingwei King and
Weining Wang
Bristol Economics Discussion Papers from School of Economics, University of Bristol, UK
Abstract:
Structural estimation in economics often makes use of models formulated in terms of moment conditions. While these moment conditions are generally well-motivated, it is often unknown whether the moment restrictions hold exactly. We consider a framework where researchers model their belief about the potential degree of misspecification via a prior distribution and adopt a quasi-Bayesian approach for performing inference on structural parameters. We provide quasiposterior concentration results, verify that quasi-posteriors can be used to obtain approximately optimal Bayesian decision rules under the maintained prior structure over misspecification, and provide a form of frequentist coverage results. We illustrate the approach through empirical examples where we obtain informative inference for structural objects allowing for substantial relaxations of the requirement that moment conditions hold exactly
Date: 2025-04-02
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Persistent link: https://EconPapers.repec.org/RePEc:bri:uobdis:25/817
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