A parametric mixture-model for common-cause failure data

IEEE Transactions on Reliability

Volumn 47, Issue 1, 1998, Pages 30-34

  Kvam, Paul H ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Binomial failure rate model; Minimum chi square; Nuclear industry; Probabilistic risk assessment; Shock model

Indexed keywords

FAILURE ANALYSIS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NUCLEAR POWER PLANTS; PARALLEL PROCESSING SYSTEMS; PROBABILITY; PROBLEM SOLVING; STATISTICAL METHODS;

COMMON CAUSE FAILURE DATA; PARAMETRIC MIXTURE MODELS;

RELIABILITY;

EID: 0032017440     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/24.690894     Document Type: Article

References (16)

1. C.L. Atwood, "The binomial failure rate common cause model", TKiJmomc.trics, 1986, vol 28, imm 2, pp 139-148.
2. R.A. Boyles, F.J. Samaniego, "Maximum likelihood estimation for a discrete multivariate shock model", J. Amer. Statistical Assoc., vol 78, 1983, pp 445-448.
3. D.R. Cox, D.V. Hinkley, Theoretical Statistics, 1974; Chapman Hall.
4. th Symp. Interface: Computing Science and Statistics, (M.E. Tartar, M.D. Lock, Eds, 1993, pp 107-111; Interface Foundation of North America.
5. P.H. Kvam, H.F. Martz, "Bayesian inference in a discrete model using confounded common cause data", Reliability Engineering and System Safety, vol 48, num 1, 1995, pp 19-25.
6. P.H. Kvam, "Estimation techniques for common cause failure data with different system sizes", Technometrics, vol 38, num 4, 1996, pp 382-388.
7. P.H. Kvam, "Maximum likelihood estimation and the multivariate Bernoulli distribution: An application to reliability", Lifetime Data: Models in Reliability and Survival Analysis (Jewell, Kimber, Lee, Whitmore, Eds, 1996, pp 187-194; Kluwer Academic Publishers.
8. P.H. Kvam, "The binomial failure rate mixture model for common cause failure data from US nuclear power plants". Applied Statistics, J. Royal Statistical Soc, series C, vol 47, 1998, pp 49-61.
9. J.S. Maritz, T. Lwin, Empirical Bayes Methods (Td ed); 1989; Chapman & Hall.
10. A.W. Marshall, I. Olkin, "A multivariate exponential distribution", J. Amer. Statistical Assoc, vol 62, 1967, pp 30-44.
11. A. Mosleh, K.N. Fleming, G.W. Parry, et al., "Procedures for treating common cause failures in safety and reliability
12. studies", NUREG/CR-4780, EPRI NP-5613, vol 1 & 2, 1988 Jan; prepared for the US NR.C & EPR.I by Pickard, Lowe, Garrick, Inc.
13. A. Mosleh, "Procedure for the analysis of common-cause failures in probabilistic safety analysis", NUREG/CR-5801, SAND91-7087, 1993; prepared for the US NRC.
14. G.W. Parry, "Common cause failure analysis: A critique and some suggestions", Reliability Engineering and System Safety, vol 34, 1991, pp 309-326.
15. Pickard, Lowe, Garrick, Inc. "Database for probabilistic risk assessment of light water nuclear power plants", PLG0500, PLG, 1989, vol 4.
16. W.E. Vesely, "Estimating common cause failure probabilities in reliability and risk analysis: Marshall-Olkin specializations", Nuclear Systems Reliability Engineering and Risk Assessment (J.B. Pussell, G.R. Durdick, eds), 1977, pp 314-341; Soc. Industrial fc Applied Mathematics.