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Some Asymptotic Theory for the Bootstrap
Open accessAbstract
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.
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Citations
Cited by
Efron, B., & Tibshirani, R. (1986) · Statistical Science · doi:10.1214/ss/1177013815 · Cited by 6,033
Estimation and inference in two-stage, semi-parametric models of production processes
Simar, L., & Wilson, P. W. (2007) · Journal of Econometrics · doi:10.1016/j.jeconom.2005.07.009 · Cited by 3,388
The Jackknife and the Bootstrap for General Stationary Observations
Kunsch, H. R. (1989) · The Annals of Statistics · doi:10.1214/aos/1176347265 · Cited by 2,374
Simple technical trading rules and the stochastic properties of stock returns
BROCK, W., LAKONISHOK, J., & LeBARON, B. (1992) · The Journal of Finance · doi:10.1111/j.1540-6261.1992.tb04681.x · Cited by 2,301
Bootstrapping goodness-of-fit measures in structural equation models.
Bollen, K. A., & Stine, R. A. (1992) · Sociological Methods & Research · doi:10.1177/0049124192021002004 · Cited by 1,831
Metadata
- Authors
- Bickel, P. J., & Freedman, D. A.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1981-11-01
- Volume
- 9
- Issue
- 6
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2067707835
- Cited by
- 1,621
- References
- 0
- FWCI
- 13.83
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Some Asymptotic Theory for the Bootstrap. https://app.cochat.ai/papers/10.1214/aos/1176345637
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- Bickel, P. J., & Freedman, D. A. (1981). Some Asymptotic Theory for the Bootstrap. The Annals of Statistics. https://doi.org/10.1214/aos/1176345637
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
