solution

In Example A of Section 8.4, we used knowledge of the exact form of the sampling distribution ofA to estimate its standard error by

This was arrived at by realizing that Ex, follows a Poisson distribution with parameter n0. Now suppose we hadn't realized this but had used the bootstrap, letting the computer do our work for us by generating B samples of size n = 23 of Poisson random variables with parameter  = 24.9, forming the mie of  from each sample, and then finally computing the standard deviation of the resulting collection of estimates and taking this as an estimate of the standard error of. Argue that as B , the standard error estimated in this way will tend to s as given before.

 
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