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On Bootstrap Resampling and Iteration

Peter Hall and Michael A. Martin
Biometrika
Vol. 75, No. 4 (Dec., 1988), pp. 661-671
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2336307
Stable URL: http://www.jstor.org/stable/2336307
Page Count: 11
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On Bootstrap Resampling and Iteration
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Abstract

We propose a single unifying approach to bootstrap resampling, applicable to a very wide range of statistical problems. It enables attention to be focused sharply on one or more characteristics which are of major importance in any particular problem, such as coverage error or length for confidence intervals, or bias for point estimation. Our approach leads easily and directly to a very general form of bootstrap iteration, unifying and generalizing present disparate accounts of this subject. It also provides simple solutions to relatively complex problems, such as a suggestion by Lehmann (1986) for `conditionally' short confidence intervals.

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