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May 2003 A Short Prehistory of the Bootstrap
Peter Hall
Statist. Sci. 18(2): 158-167 (May 2003). DOI: 10.1214/ss/1063994970


The contemporary development of bootstrap methods, from the time of Efron's early articles to the present day, is well documented and widely appreciated. Likewise, the relationship of bootstrap techniques to certain early work on permutation testing, the jackknife and cross-validation is well understood. Less known, however, are the connections of the bootstrap to research on survey sampling for spatial data in the first half of the last century or to work from the 1940s to the 1970s on subsampling and resampling. In a selective way, some of these early linkages will be explored, giving emphasis to developments with which the statistics community tends to be less familiar. Particular attention will be paid to the work of P. C. Mahalanobis, whose development in the 1930s and 1940s of moving-block sampling methods for spatial data has a range of interesting features, and to contributions of other scientists who, during the next 40 years, developed half-sampling, subsampling and resampling methods.


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Peter Hall. "A Short Prehistory of the Bootstrap." Statist. Sci. 18 (2) 158 - 167, May 2003.


Published: May 2003
First available in Project Euclid: 19 September 2003

zbMATH: 1331.62018
MathSciNet: MR2026077
Digital Object Identifier: 10.1214/ss/1063994970

Keywords: block bootstrap , computer-intensive statistics , Confidence interval , half-sample , Monte Carlo , moving block , Permutation test , resample , Resampling , sample survey , statistical experimentation , sub-sample

Rights: Copyright © 2003 Institute of Mathematical Statistics


Vol.18 • No. 2 • May 2003
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