The International Prize in Statistics has been awarded to Bradley Efron, professor of statistics and biomedical data science at Stanford University, in recognition of the "bootstrap," a method he ...

An approach combining saddlepoint approximation and importance resampling is developed for approximating the bootstrap distribution of a statistic which is a smooth function of sample means. The idea ...

In this paper we consider bootstrap of a smooth functional T. We give a simple proof for the higher order accuracy of the bootstrap estimate. In particular, we show that the expectation of a smooth ...