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Zbl 0893.62030
Beran, Rudolf
Seven stages of bootstrap. (English)
[A] Dirschedl, Peter (ed.) et al., Computational statistics. Papers collected on the occasion of the 25th conference on statistical computing, Schloss Reisensburg, Germany, June 1993. Heidelberg: Physica-Verlag. Contributions to Statistics. 143-157 (1994). ISBN 3-7908-0813-X/pbk

Summary: This essay is organized around the theoretical and computational problem of constructing bootstrap confidence sets, with forays into related topics. The seven section headings are: Introduction; The bootstrap world; Bootstrap confidence sets; Computing bootstrap confidence sets; Quality of bootstrap confidence sets; Iterated and two-step bootstrap; Further resources.

MSC 2000:: *62G09 Statistical resampling methods
62G15 Nonparametric confidence regions, etc.
65C99 Numerical simulation
62F25 Parametric confidence regions, etc.

Keywords: coverage probability; iterated bootstrap; two-step bootstrap; Mone Carlo; high-dimensional parameter; bootstrap confidence sets

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Zentralblatt MATH Berlin [Germany]