Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 47 / 4 / b / i

Let $q_{.025}^{\ast }$ and $q_{.975}^{\ast }$ be the empirical quantiles of the paired-bootstrap values ${\hat{\theta }}^{\ast }$. The percentile bootstrap confidence interval isIts endpoints use the bootstrap distribution of the estimate itself. The regularity assumptions and resampling scheme are those in the parent solution.