10.7.2 Heuristic Justification for the Jackknife and the Bootstrap

Let us first justify the validity of the bootstrap estimate. In the arguments given here we denote n−1/2Δn = FnF by Dn and Fn*Fnsi477_e by Dn*si478_e. We can simplify notations by writing Tx;FdDn(x)si479_e by LFDnsi480_e and Tx1,x2;FdDnx1dDnx2 by QFDn. If we expand TFn* about Fn, then we have

TFn*

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