Theory for the Bootstrap
The bootstrap is a very convenient and appealing tool for statistical analysis, however, theoretical and/or empirical confirmation should be made of its suitability for the problem at hand. Also, it is important to know the relative performance of the bootstrap versus other existing methods. A general theory for the bootstrap distribution and variance estimation for a given statistic is presented in this chapter. The more delicate problem of constructing bootstrap confidence sets and hypothesis tests will be treated in the next chapter.
KeywordsConvergence Rate Normal Approximation Strong Consistency Edgeworth Expansion Sample Quantile
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