A weighted bootstrap approach to bootstrap iteration

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 62, Issue 1, 2000, Pages 137-144

  Hall, Peter ^a   Maesono, Yoshihiko ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

Calibration; Confidence interval; Distribution estimation; Double bootstrap; Edgeworth expansion; Monte Carlo simulation; Weighted bootstrap

Indexed keywords

EID: 0034358435     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00224     Document Type: Article

References (16)

1. Barbe, P. and Bertail, P. (1995) The Weighted Bootstrap. Berlin: Springer.
2. Beran, R. (1987) Prepivoting to reduce error of confidence sets. Biometrika, 74, 457-468.
3. Booth, J. and Hall, P. (1994) Monte Carlo approximation and the iterated bootstrap. Biometrika, 81, 331-340.
4. Daniels, H. E. and Young, G. A. (1991) Saddlepoint approximation for the Studentised mean, with an application to the bootstrap. Biometrika, 78, 169-179.
5. Davison, A. C. and Hinkley, D. V. (1988) Saddlepoint approximations in resampling methods. Biometrika, 75, 417-431.
6. DiCiccio, T. J., Martin, M. A. and Young, G. A. (1992) Fast and accurate approximate double bootstrap confidence intervals. Biometrika, 79, 285-295.
7. Efron, B. (1983) Estimating the error rate of a prediction rule: improvement on cross-validation. J. Am. Statist. Ass., 78, 316-331.
8. Efron, B. and Tibshirani, R. (1993) An Introduction to the Bootstrap. London: Chapman and Hall.
9. Hall, P. (1986) On the bootstrap and confidence intervals. Ann. Statist., 14, 1431-1452.
10. -(1992) The Bootstrap and Edgeworth Expansion. New York: Springer.
11. Hall, P. and Martin, M. A. (1988) On bootstrap resampling and iteration. Biometrika, 75, 661-671.
12. Lee, S. M. S. and Young, G. A. (1995) Asymptotic iterated bootstrap confidence intervals. Ann. Statist., 23, 1301-1330.
13. Loh, W.-Y. (1987) Calibrating confidence coefficients. J. Am. Statist. Ass., 82, 155-162.
14. -(1991) Bootstrap calibration for confidence interval construction and selection. Statist. Sin., 1, 477-491.
15. Martin, M. A. (1990) On bootstrap iteration for coverage correction in confidence intervals. J. Am. Statist. Ass., 85, 1105-1118.
16. Shao, J. and Tu, D. (1995) The Jackknife and Bootstrap. New York: Springer.