A note on bootstrap large deviations and discrete parameter spaces

نویسنده

  • Michael A. Newton
چکیده

A bootstrap large deviation result for the mean is shown to be a consequence of a classical large deviation result due to Sievers and later improved by Plachky and Steinebach. The result implies a level of asymptotic correctness for nonparametric bootstrapping of the maximum likelihood estimator in models having a discrete parameter space. The application of bootstrap methods in molecular evolution gains theoretical support from this result.

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تاریخ انتشار 2007