Inference on system reliability for independent series components

Communications in Statistics - Theory and Methods

Volumn 38, Issue 3, 2009, Pages 409-418

  Mu, Weiyan ^a   Xu, Xingzhong ^a   Xiong, Shifeng ^b  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Frequency; Generalized confidence interval; Generalized p value; Generalized pivotal; Reliability

Indexed keywords

ADMINISTRATIVE DATA PROCESSING; FINANCIAL DATA PROCESSING; RELIABILITY;

CONFIDENCE INTERVALS; FREQUENCY; FREQUENTIST; GENERALIZED CONFIDENCE INTERVAL; GENERALIZED P-VALUE; GENERALIZED PIVOTAL; LIFE-TIMES; LOGNORMAL; LOGNORMAL DISTRIBUTIONS; RELIABILITY FUNCTIONS; SYSTEM RELIABILITIES; TWO COMPONENTS;

WEIBULL DISTRIBUTION;

EID: 57849086441     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920802220793     Document Type: Article

References (11)

1. Ananda, M. M. A. (2003). Confidence intervals for steady state availability of a system with exponential operating time and lognormal repair time. Appl. Math. Comput. 137:499-509.
2. Ananda, M. M. A., Gamage, J. (2004). On steady state availability of a system with lognormal repair time. Appl. Math. Comput. 150:409-416.
3. Engelhardt, M., Bain, L. J. (1978). Tolerance limits and confidence limits on reliability for the two-parameter exponential distribution. Technometrics 20:37-39.
4. Hannig, J., Iyer, H., Patterson, P. (2006). Fiducial generalized confidence intervals. J. Amer. Statist. Assoc. 101:254-269.
5. Roy, A., Mathew, T. (2005). A generalized confidence limit for the reliability function of a two-parameter exponential distribution. J. Statist. Plann. Infer. 128:509-517.
6. Tisu, K.-W., Weerahandi, S. (1989). Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. J. Amer. Statist. Assoc. 84:602-607.
7. Varde, S. D. (1970). Estimation of reliability of a two exponential component series system. Technometrics 12:867-875.
8. Weerahandi, S. (1993). Generalized confidence intervals. J. Amer. Statist. Assoc. 88:899-905.
9. Weerahandi, S. (1995). Exact Statistical Methods for Data Analysis. New York: Springer-Verlag.
10. Weerahandi, S. (2004). Generalized Inference in Repeated Measures. New York: Springer-Verlag.
11. Weerahandi, S., Johnson, R. A. (1992). Testing reliability in a stress-strength model when X and Y are normally distributed. Technometrics 34:83-91.