Recent Developments in Bootstrap Methodology
Authors:
- A. C. DavisonADA. C. Davison
- D. V. HinkleyDHD. V. Hinkley
- G. A. YoungGYG. A. Young
Open Access
- 1 May 2003
- journal article
- Published by Institute of Mathematical Statistics in Statistical Science
- Vol. 18 (2) , 141-157
Abstract
Ever since its introduction, the bootstrap has provided both a powerful set of solutions for practical statisticians, and a rich source of theoretical and methodological problems for statistics. In this article, some recent developments in bootstrap methodology are reviewed and discussed. After a brief introduction to the bootstrap, we consider the following topics at varying levels of detail: the use of bootstrapping for highly accurate parametric inference; theoretical properties of nonparametric bootstrapping with unequal probabilities; subsampling and the m out of n bootstrap; bootstrap failures and remedies for superefficient estimators; recent topics in significance testing; bootstrap improvements of unstable classifiers and resampling for dependent data. The treatment is telegraphic rather than exhaustive.Keywords
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