Optimal Comparison of Misspecified Moment Restriction Models under a Chosen Measure of Fit

Vadim Marmer () and Taisuke Otsu
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Taisuke Otsu: Cowles Foundation, Yale University, https://cowles.yale.edu/

No 1724, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: Suppose that the econometrician is interested in comparing two misspecified moment restriction models, where the comparison is performed in terms of some chosen measure of fit. This paper is concerned with describing an optimal test of the Vuong (1989) and Rivers and Vuong (2002) type null hypothesis that the two models are equivalent under the given measure of fit (the ranking may vary for different measures). We adopt the generalized Neyman-Pearson optimality criterion, which focuses on the decay rates of the type I and II error probabilities under fixed non-local alternatives, and derive an optimal but practically infeasible test. Then, as an illustration, by considering the model comparison hypothesis defined by the weighted Euclidean norm of moment restrictions, we propose a feasible approximate test statistic to the optimal one and study its asymptotic properties. Local power properties, one-sided test, and comparison under the generalized empirical likelihood-based measure of fit are also investigated. A simulation study illustrates that our approximate test is more powerful than the Rivers-Vuong test.

Keywords: Moment restriction; Model comparison; Misspecification; Generalized Neyman-Pearson optimality; Generalized method of moments (search for similar items in EconPapers)
JEL-codes: C12 C14 C52 (search for similar items in EconPapers)
Pages: 46 pages
Date: 2009-08, Revised 2011-07
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Optimal comparison of misspecified moment restriction models under a chosen measure of fit (2012)
Working Paper: Optimal Comparison of Misspecified Moment Restriction Models under a Chosen Measure of Fit (2011)
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