The relationship between confidence intervals for failure probabilities and life time quantiles

IEEE Transactions on Reliability

Volumn 57, Issue 2, 2008, Pages 260-266

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

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

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Asymptotic approximation; Confidence bands; Life data analysis; Likelihood confidence interval; Maximum likelihood; s normal approximation

Indexed keywords

ADMINISTRATIVE DATA PROCESSING; FINANCIAL DATA PROCESSING; RAILROAD PLANT AND STRUCTURES;

CONFIDENCE INTERVAL (CI); FAILURE PROBABILITIES; LIFE-TIME;

PROBABILITY;

EID: 45549093143     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2008.920352     Document Type: Article

References (17)

1. MINITAB Statistical Software, Release 15 for Windows. Minitab, Minitab Inc., State College, Pennsylvania, 2006.
2. Life Data Analysis (Weibull Analysis) Software Weibull++, ReliaSoft Corporation, 2007 [Online]. Available: http://weibull.reliasoft.com/
3. "SAS/QC User's Guide," ver. 9. 1, SAS, SAS Institute Inc., NC, 2003.
4. W. Q. Meeker and L. A. Escobar, SPLIDA (S-PLUS Life Data Analysis) 2004 [Online]. Available: www.public.iastate.edu/~splida
5. W. Nelson, Applied Life Data Analysis. New York: John Wiley and Sons Inc., 1982.
6. W. Q. Meeker and L. A. Escobar, Statistical Methods for Reliability Data. New York: John Wiley and Sons Inc., 1998.
7. J. F. Lawless, Statistical Models and Methods for Lifetime Data, 2nd ed. New York: John Wiley and Sons Inc., 2003.
8. B. Billman, C. Antle, and L. J. Bain, "Statistical inferences from censored Weibull samples," Technometrics, vol. 14, no. 4, pp. 831-840, 1972.
9. S. W. McKane, L. A. Escobar, and W. Q. Meeker, "Sample size and number of failure requirements for demonstration tests with log-location-scale distributions and Type II censoring," Technometrics, vol. 47, no. 2, pp. 182-190, 2005.
10. S.-L. Jeng and W. Q. Meeker, "Comparisons of Weibull distribution approximate confidence intervals procedures for Type I censored data," Technometrics, vol. 42, no. 2, pp. 135-148, 2000.
11. J. Lieblein and M. Zelen, "Statistical investigation of the fatigue life of deep-groove ball bearings," Journal of Research, National Bureau of Standards, vol. 57, pp. 273-316, 1956.
12. R. Calabria and G. Pulcini, "Confidence limits for reliability and tolerance limits in the inverse Weibull distribution," Reliability Engineering and System Safety, vol. 24, pp. 77-85, 1989.
13. W. Zhao, R. Pan, A. Aron, and A. Mettas, "Some properties of confidence bounds on reliability estimation for parts under varying stresses," IEEE Trans. Reliability, vol. 55, no. 1, pp. 7-17, 2006.
14. C. Xiong, K. Zhu, and M. Ji, "Analysis of a simple step-stress life test with a random stress-change time," IEEE Trans. Reliability, vol. 55, no. 1, pp. 67-74, 2006.
15. A. M. Sarhan, "Analysis of incomplete, censored data in competing risks models with generalized exponential distributions," IEEE Trans. Reliability, vol. 56, no. 1, pp. 132-138, 2007.
16. C. K. Hansen and P. Thyregod, "On the analysis of field failure data for repairable systems," Reliability Engineering and System Safety vol. 36, pp. 47-51, 1992.
17. A. J. Marcorin and A. J. Abackerli, "Field failure data: An alternative proposal for reliability estimation," Quality and Reliability Engineering International, vol. 22, pp. 851-862, 2006.