Statistical prediction based on censored life data

Technometrics

Volumn 41, Issue 2, 1999, Pages 113-124

  Escobar, Luis A ^a   Meeker, William Q ^b  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b Department of Statistics Center for Statistics and Applications in Forensic Evidence Iowa State University 2438 Osborn Dr Ames   (United States)

Author keywords

Bootstrap; Maximum likelihood; Reliability; Simulation; Warranty

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; RELIABILITY;

CENSORED LIFE DATA; STATISTICAL PREDICTION;

STATISTICAL METHODS;

EID: 0032674702     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1999.10485632     Document Type: Article

References (19)

1. Abernethy, R. B., Breneman, J. E., Medlin, C. H., and Reinman, G. L. (1983), Weibull Analysis Handbook, Air Force Wright Aeronautical Laboratories Technical Report AFWAL-TR-83-2079 (available from the National Technical Information Service, Washington, DC).
2. Antle, C. E., and Rademaker, F. (1972), “An Upper Confidence Limit on the Maximum of m Future Observations From a Type I Extreme Value Distribution,” Biometrika, 59, 475-477.
3. Atwood, C. L. (1984), “Approximate Tolerance Intervals, Based on Maximum Likelihood Estimates,” Journal of the American Statistical Association, 79, 459-465.
4. Beran, R. (1990), “Calibrating Prediction Regions,” Journal of the American Statistical Association. 85, 715-723.
5. Cox, D. R. (1975), “Prediction Intervals and Empirical Bayes Confidence Intervals,” in Perspectives in Probability and Statistics, ed. J. Gani, London: Academic Press, pp. 47-55.
6. Efron, B., and Tibshirani, R. J. (1993), An Introduction to the Bootstrap, New York: Chapman and Hall.
7. Engelhardt, M., and Bain, L. J. (1979), “Prediction Limits and Two-Sample Problems With Complete or Censored Weibull Data,” Technometrics, 21, 233-237.
8. Faulkenberry, G. D. (1973), “A Method of Obtaining Prediction Intervals,” Journal of the American Statistical Association, 68, 433-435.
9. Geisser, S. (1993), Predictive Inference: An Introduction, New York: Chapman and Hall.
10. Hahn, G. J., and Meeker, W. Q. (1991), Statistical Intervals: A Guide for Practitioners, New York: Wiley.
11. Hahn, G. J., and Nelson, W. (1973), “A Survey of Prediction Intervals and Their Applications,” Journal of Quality Technology, 5, 178-188.
12. Kalbfleisch, J. D. (1971), “Likelihood Methods of Prediction,” in Foundations of Statistical Inference; Proceedings of the Symposium on the Foundations of Statistical Inference, eds. V. P. Godambe and D. A. Sprott, Toronto: Holt, Rinehart, and Winston, pp. 378-390.
13. Lawless, J. F. (1973), “On Estimation of Safe Life When the Underlying Distribution Is Weibull,” Technometrics, 15, 857-865.
14. Lawless, J. F. (1982), Statistical Models and Methods for Life Time Data, New York: Wiley.
15. Mee, R., and Kushary, D. (1994), “Prediction Limits for the Weibull Distribution Utilizing Simulation,” Computational Statistics and Data Analysis, 17, 327-336.
16. Nagaraja, H. N. (1995), “Prediction Problems,” in The Exponential Distribution: Theory, Methods & Applications, eds. N. Balakrishnan and A. P. Basu, London: Gordon and Breach, pp. 139-163.
17. Nelson, W. (1995), “Weibull Prediction of a Future Number of Failures,” paper presented at the 1995 Joint Statistical Meetings, Toronto, August 13-17.
18. Nelson, W., and Schmee, J. (1981), “Prediction Limits for the Last Failure of a (Log) Normal Sample From Early Failures,” IEEE Transactions on Reliability, R-30, 461-463.
19. Patel, J. K. (1989), “Prediction Intervals—A Review,” Communications in Statistics—Theory and Methods, 18, 2393-2465.