Document Type
Discussion Paper
Publication Date
8-1-2009
CFDP Number
1724
CFDP Revision Date
2011-07-01
CFDP Pages
35
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.
Recommended Citation
Marmer, Vadim and Otsu, Taisuke, "Optimal Comparison of Misspecified Moment Restriction Models under a Chosen Measure of Fit" (2009). Cowles Foundation Discussion Papers. 2043.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/2043