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In this problem we compare variance and MSE obtained by resimulation of samples from a known distribution with empirical bootstrap estimates from a single sample.

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In this problem we compare variance and MSE obtained by resimulation of samples from a known distribution with empirical bootstrap estimates from a single sample. The statistic is the IQR of a U({],1) distribution: we know the true value is 0.5. (a) Generate N = 10000 samples each of size n = 500 from the U{U,1) distribution. For each sample size 500, nd the estimate of the IQR, and so nd the estimated variance and MSE of the [QR of a U({l,1)

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