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On the Asymptotic Accuracy of Efron's Bootstrap
Open accessAbstract
In the non-lattice case it is shown that the bootstrap approximation of the distribution of the standardized sample mean is asymptotically more accurate than approximation by the limiting normal distribution. The exact convergence rate of the bootstrap approximation of the distributions of sample quantiles is obtained. A few other convergence rates regarding the bootstrap method are also studied.
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Citations
Cited by
Efron, B., & Tibshirani, R. (1986) · Statistical Science · doi:10.1214/ss/1177013815 · Cited by 6,033
Better Bootstrap Confidence Intervals
Efron, B. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478410 · Cited by 3,364
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
Jackknife, Bootstrap and Other Resampling Methods in Regression Analysis
Wu, C. F. J. (1986) · The Annals of Statistics · doi:10.1214/aos/1176350142 · Cited by 1,724
Some Asymptotic Theory for the Bootstrap
Bickel, P. J., & Freedman, D. A. (1981) · The Annals of Statistics · doi:10.1214/aos/1176345637 · Cited by 1,621
Metadata
- Authors
- Singh, K.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1981-11-01
- Volume
- 9
- Issue
- 6
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2010100928
- Cited by
- 760
- References
- 0
- FWCI
- 8.11
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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