Statistics Graduate Level Quiz
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SIMULATION, RESAMPLING & COMPUTATION
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Let X1,…,XnX_1,\ldots,X_n be independent observations from a uniform distribution on [0,θ][0,\theta], and let MnM_n be the sample maximum. An investigator uses the ordinary nonparametric bootstrap, drawing samples of size nn from the empirical distribution, to estimate the sampling uncertainty of MnM_n.
Which statement best identifies the fundamental difficulty with this bootstrap procedure?
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