Minimizing sensitivity to model misspecification
Stéphane Bonhomme and
Martin Weidner
Quantitative Economics, 2022, vol. 13, issue 3, 907-954
Abstract:
We propose a framework for estimation and inference when the model may be misspecified. We rely on a local asymptotic approach where the degree of misspecification is indexed by the sample size. We construct estimators whose mean squared error is minimax in a neighborhood of the reference model, based on one‐step adjustments. In addition, we provide confidence intervals that contain the true parameter under local misspecification. As a tool to interpret the degree of misspecification, we map it to the local power of a specification test of the reference model. Our approach allows for systematic sensitivity analysis when the parameter of interest may be partially or irregularly identified. As illustrations, we study three applications: an empirical analysis of the impact of conditional cash transfers in Mexico where misspecification stems from the presence of stigma effects of the program, a cross‐sectional binary choice model where the error distribution is misspecified, and a dynamic panel data binary choice model where the number of time periods is small and the distribution of individual effects is misspecified.
Date: 2022
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https://doi.org/10.3982/QE1930
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Persistent link: https://EconPapers.repec.org/RePEc:wly:quante:v:13:y:2022:i:3:p:907-954
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