21 Bootstrapping Regression Models
21.1. Bootstrapping Basics 589 y∗ p∗(y∗) 6 .25 −3 .25 5 .25 3 .25 Note that E∗(Y∗) = all y∗ y∗p(y∗) = 2.75 = Y and V∗(Y∗) = [y∗ −E∗(Y∗)]2p(y∗)= 12.187 = 3 4 S2 = n−1 n S2 Thus, the expectation of Y∗ is just the sample mean of Y, and the variance of Y∗ is [except for the factor (n−1)/n, which is trivial in larger samples] the sample variance of Y.
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