The Jackknife The Bootstrap And Other Resampling Plans

Download or read book The Jackknife, the Bootstrap, and Other Resampling Plans written by Bradley Efron and published by SIAM. This book was released on 1982-01-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The jackknife and the bootstrap are nonparametric methods for assessing the errors in a statistical estimation problem. They provide several advantages over the traditional parametric approach: the methods are easy to describe and they apply to arbitrarily complicated situations; distribution assumptions, such as normality, are never made. This monograph connects the jackknife, the bootstrap, and many other related ideas such as cross-validation, random subsampling, and balanced repeated replications into a unified exposition. The theoretical development is at an easy mathematical level and is supplemented by a large number of numerical examples. The methods described in this monograph form a useful set of tools for the applied statistician. They are particularly useful in problem areas where complicated data structures are common, for example, in censoring, missing data, and highly multivariate situations.