Comparisons of approximate confidence interval procedures for type I censored data

Technometrics

Volumn 42, Issue 2, 2000, Pages 135-148

  Jeng, Shuen Lin ^a   Meeker, William Q ^b  

^a MING CHUAN UNIVERSITY   (Taiwan)

^b E005A Lagomarcino Hall   (United States)

Author keywords

Bartlett correction; Bias corrected accelerated bootstrap; Bootstrap t; Life data; Likelihood ratio; Maximum likelihood; Parametric bootstrap; Type I censoring

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONSTRAINT THEORY; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; STATISTICS; WEIBULL DISTRIBUTION;

BARTLETT CORRECTION; BIAS CORRECTED ACCELERATED BOOTSTRAP; CENSORED DATA; LIFE TESTING; PARAMETRIC BOOTSTRAP;

RELIABILITY THEORY;

EID: 0034187072     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.2000.10485992     Document Type: Article

References (25)

1. Barndorff-Nielsen, O. E. (1986), “Inference on Full or Partial Parameters Based on the Standardized Signed Log Likelihood Ratio,” Biometrika, 73, 307-322.
2. Barndorff-Nielsen, O. E. (1991), “Modified Signed Log Likelihood Ratio,” Biometrika, 78, 557-563.
3. Barndorff-Nielsen, O. E., and Cox, D. R. (1994), Inference and Asymptotics, London: Chapman & Hall.
4. Bartlett, M. S. (1937), “Properties of Sufficiency and Statistical Tests,” Proceedings of the Royal Society of London, Ser. A, 160, 268-282.
5. Doganaksoy, N. (1995), “Likelihood Ratio Confidence Intervals in Life-data Analysis,” in Recent Advances in Life-Testing and Reliability, ed. N. Balakrishnan, Boca Raton, FL: CRC Press, pp. 359-376.
6. Doganaksoy, N., and Schmee, J. (1993a), “Comparisons of Approximate Confidence Intervals for Distributions Used in Life-data Analysis,” Technometrics, 35, 175-184.
7. Doganaksoy, N., and Schmee, J. (1993b), "Orthogonal Parameters With Censored Data,” Communications in Statistics—Part A, Theory and Methods, 22, 669-685.
8. Efron, B. (1981), “Nonparametric Standard Errors and Confidence Intervals” (with discussion), The Canadian Journal of Statistics, 9, 139-172.
9. Efron, B. (1982), The Jackknife, the Bootstrap and Other Resampling Plans, Philadelphia: Society for Industrial and Applied Mathematics.
10. Efron, B. (1987), “Better Bootstrap Confidence Intervals” (with discussion), Journal of the American Statistical Association, 82, 171-200.
11. Efron, B., and Tibshirani, R. J. (1993), An Introduction to the Bootstrap, New York: Chapman & Hall.
12. Hall, P. (1987), “On the Bootstrap and Likelihood-based Confidence Regions,” Biometrika, 74, 481-493.
13. Hall, P. (1992), The Bootstrap and Edgeworth Expansion, New York: Springer-Verlag.
14. Jeng, S. L. (1998), “Improved Approximate Confidence Intervals for Censored Data,” unpublished Ph.D. dissertation, Iowa State University, Dept, of Statistics.
15. Jensen, J. L. (1993), “A Historical Sketch and Some New Results on the Improved Log Likelihood Ratio Statistic,” Scandinavian Journal of Statistics. Theory and Applications, 20, 1-15.
16. Lawless, J. F. (1982), Statistical Models and Methods for Lifetime Data, New York: Wiley.
17. Meeker, W. Q., and Escobar, L. A. (1998), Statistical Methods for Reliability Data, New York: Wiley.
18. Nelson, W. (1982), Applied Life Data Analysis, New York: Wiley.
19. Ostrouchov, G., and Meeker, W. Q., Jr. (1988), “Accuracy of Approximate Confidence Bounds Computed From Interval Censored Weibull and Lognormal Data,” Journal of Statistical Computation and Simulation, 29, 43-76.
20. Piegorsch, W. W. (1987), “Performance of Likelihood-Based Interval Estimates for Two-Parameter Exponential Samples Subject to Type I Censoring,” Technometrics, 29, 41-49.
21. Robinson, J. A. (1983), “Bootstrap Confidence Intervals in Location-Scale Models With Progressive Censoring,” Technometrics, 25, 179-187.
22. Schenker, N., and Patwardhan, G. (1985), “Qualms About Bootstrap Confidence Intervals,” Journal of the American Statistical Association, 80, 360-361.
23. Serfling, R. J. (1980), Approximation Theorems of Mathematical Statistics, New York: Wiley.
24. Shao, J., and Tu, D. (1995), The Jackknife and Bootstrap, New York: Springer-Verlag.
25. Vander Wiel, S. A., and Meeker, W. Q. (1990), “Accuracy of Approximate Confidence Bounds Using Censored Weibull Regression Data From Accelerated Life Tests,” IEEE Transactions on Reliability, R-39, 346-351.