Bootstrapping likelihood-ratio-type tests based on convex M-estimation
Summary We consider likelihood-ratio-type statistics for testing restrictions on parameters built from a convex M-estimation criterion. In general, these statistics are not asymptotically pivotal. We propose a general simple non-parametric bootstrap procedure that yields asymptotically valid critical values and p-values. The method modifies the bootstrap objective function to mimic what happens under the null hypothesis. A Monte Carlo study illustrates that our method…