A new method of projection-based inference in GMM with weakly identified nuisance parameters
含弱识别干扰参数的 GMM 新投影推断方法AI 解读 ↓
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含弱识别干扰参数的 GMM 新投影推断方法AI 解读 ↓
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Projection-based tests for subsets of parameters are useful because they do not over-reject the true parameter values when either it is difficult to estimate the nuisance parameters or their identification status is questionable. However, they are also often criticized for being overly conservative. We overcome this conservativeness by introducing a new projection-based test that is more powerful than the traditional projection-based tests. The new test is even asymptotically equivalent to the related plug-in-based tests when all the parameters are identified. Extension to models with weakly identified parameters shows that the new test is not dominated by the related plug-in-based tests.