The parametric bootstrap
Generally speaking, when we have a properly specified model, simulating from the model often provides reliable estimates even with smaller number of replicates than the non-parametric bootstrap. However, if the parametric model is mis-specified, the solution converges to the wrong distribution. Thus, when using the parametric bootstrap, the assumptions must hold.
We would like to show an application of the parametric bootstrap to show the properties of this method. Suppose that we have information that allow us to conclude that the two variables income and prestige in the dataset Prestige (package car) are drawn from a bivariate normal distribution – this is the model here to be assumed. We now estimate the mean and covariance ...
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