Nonparametric likelihood ratio confidence intervals

Biometrika

Volumn 86, Issue 1, 1999, Pages 107-118

  Lee, Stephen M S ^a   Alastair Young, G ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Bootstrap; Coverage; Empirical likelihood; Least favourable family; Nonparametric likelihood

Indexed keywords

EID: 15844430555     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/86.1.107     Document Type: Article

References (15)

1. BHATTACHARYA, R. N. & GHOSH, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist. 6, 435-51.
2. DAVISON, A. C. & HINKLEY, D. V. (1997). Bootstrap Methods and their Application. Cambridge: Cambridge University Press.
3. DICICCIO, T. J., HALL, P. & ROMANO, J. P. (1991). Empirical likelihood is Bartlett-correctable. Ann. Statist. 19, 1053-61.
4. DICICCIO, T. J. & ROMANO, J. P. (1989). On adjustments based on the signed root of the empirical likelihood ratio statistic. Biometrika 76, 447-56.
5. DICICCIO, T. J. & ROMANO, J. P. (1990). Nonparametric confidence limits by resampling methods and least favourable families. Int. Statist. Rev. 58, 59-76.
6. EFRON, B. (1982). The Jackknife, the Bootstrap and Other Resampling Plans. Philadelphia: SIAM.
7. HALL, P. (1988). Theoretical comparison of bootstrap confidence intervals (with Discussion). Ann. Statist. 16, 927-85.
8. HALL, P. (1992). The Bootstrap and Edgeworth Expansion. New York: Springer.
9. HALL, P. & LA SCALA, B. (1990). Methodology and algorithms of empirical likelihood. Int. Statist. Rev. 58, 109-27.
10. HALL, P. & MARTIN, M. A. (1988). On bootstrap resampling and iteration. Biometrika 75, 661-71.
11. LEE, S. M. S. & YOUNG, G. A. (1995). Asymptotic iterated bootstrap confidence intervals. Ann. Statist. 23, 1301-30.
12. LEE, S. M. S. & YOUNG, G. A. (1997). Asymptotics and resampling methods. Comp. Sci. Statist. 28, 221-7.
13. OWEN, A. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75, 237-49.
14. OWEN, A. (1990). Empirical likelihood ratio confidence regions. Ann. Statist. 18, 90-120.
15. STEIN, C. (1956). Efficient nonparametric testing and estimation. In Proc. 3rd Berkeley Symp. Math. Statist. Prob., 1, Ed. J. Neyman, pp. 187-95. Berkeley: University of California Press.