Second Thoughts on the Bootstrap

Statistical Science

Volumn 18, Issue 2, 2003, Pages 135-140

  Efron, Bradley ^a,b  

^a Department of Statistics ^*  (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

ABC method; BCA; Bootstrap confidence intervals; Objective Bayes; Plug in principle

Indexed keywords

EID: 0346902084     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/ss/1063994968     Document Type: Review

References (20)

1. BICKEL, P. and FREEDMAN, D. (1981). Some asymptotic theory for the bootstrap. Ann. Statist. 9 1196-1217.
2. DICICCIO, T. and EFRON, B. (1992). More accurate confidence intervals in exponential families. Biometrika 79 231-245.
3. DICICCIO, T. and EFRON, B. (1996). Bootstrap confidence intervals (with discussion). Statist. Sci. 11 189-228.
4. EFRON, B. (1979). Bootstrap methods: Another look at the jackknife. Ann. Statist. 7 1-26.
5. EFRON, B. (1983), Estimating the error rate of a prediction rule: Improvement on cross-validation. J. Amer. Statist. Assoc. 78 316-331.
6. EFRON, B. (1993). Bayes and likelihood calculations from confidence intervals. Biometrika 80 3-26.
7. EFRON, B. (1996). Empirical Bayes methods for combining likelihoods (with discussion). J. Amer. Statist. Assoc. 91 538-565.
8. EFRON, B., HALLORAN, E. and HOLMES, S. (1996). Bootstrap confidence levels for phylogenetic trees. Proc. Nat. Acad. Sci. U.S.A. 93 13,429-13,434.
9. EFRON, B. and TIBSHIRANI, R. (1997). Improvements on cross-validation. The .632+ bootstrap method. J. Amer. Statist. Assoc. 92 548-560.
10. EFRON, B. and TIBSHIRANI, R. (1998). The problem of regions. Ann. Statist. 26 1687-1718.
11. FELSENSTEIN, J. (1985). Confidence limits on phylogenies: An approach using the bootstrap. Evolution 39 783-791.
12. HASTIE, T., TIBSHIRANI, R. and FRIEDMAN, J. (2001). The Elements of Statistical Learning. Springer, New York.
13. JAECKEL, L. (1972). The infinitesimal jackknife. Memorandum MM72-1215-11, Bell Lab.
14. MARDIA, K., KENT, J. and BIBBY, J. (1979). Multivariate Analysis. Academic Press, New York.
15. QUENOUILLE, M. (1949). Approximate tests of correlation in time-series. J. Roy. Statist. Soc. Ser. B 11 68-84.
16. REID, N. (1995). The roles of conditioning in inference (with discussion). Statist. Sci. 10 138-196.
17. RUBIN, D. (1981). The Bayesian bootstrap. Ann. Statist. 9 130-134.
18. SINGH, K. (1981). On the asymptotic accuracy of Efron's bootstrap. Ann. Statist. 9 1187-1195.
19. SMALL, C. and MURDOCH, D. (1993). Nonparametric Neyman-Scott problems: Telescoping product methods. Biometrika 80 763-779.
20. TUKEY, J. (1958). Bias and confidence in not-quite large samples (abstract). Ann. Math. Statist. 29 614.