Abstract
Efron's "bootstrap" method of distribution approximation is shown to be asymptotically valid in a large number of situations, including $t$-statistics, the empirical and quantile processes, and von Mises functionals. Some counter-examples are also given, to show that the approximation does not always succeed.
Keywords
MathematicsQuantileAsymptotic analysisApplied mathematicsAsymptotic distributionDistribution (mathematics)StatisticsEconometricsMathematical analysisEstimator
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Publication Info
- Year
- 1981
- Type
- article
- Volume
- 9
- Issue
- 6
- Citations
- 1634
- Access
- Closed
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Cite This
Peter J. Bickel,
David A. Freedman
(1981).
Some Asymptotic Theory for the Bootstrap.
The Annals of Statistics
, 9
(6)
.
https://doi.org/10.1214/aos/1176345637
Identifiers
- DOI
- 10.1214/aos/1176345637