Mixing Bayes and empirical Bayes inference to anticipate the realization of engineering concerns about variant system designs

Reliability Engineering and System Safety

Volumn 96, Issue 8, 2011, Pages 933-941

  Quigley, John ^a   Walls, Lesley ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Empirical Bayes; Hypergeometric function; Product development; Reliability growth

Indexed keywords

COHERENT INFERENCE; EFFICIENT IMPLEMENTATION; EMPIRICAL BAYES; ENGINEERING CHANGES; EVALUATION EXPERIMENTS; FAILURE DATA; FAILURE EVENTS; FIRST-ORDER; HYPERGEOMETRIC FUNCTION; INFORMED DECISION; MODEL IMPLEMENTATION; NON-PARAMETRIC; PRIOR DISTRIBUTION; RELIABILITY GROWTH; SYSTEM DESIGN; TEST AND ANALYSIS; VARIANT SYSTEM;

BAYESIAN NETWORKS; DESIGN; INDUSTRIAL APPLICATIONS; INNOVATION; PRODUCT DEVELOPMENT; RELIABILITY ANALYSIS; STOCHASTIC MODELS; SYSTEMS ANALYSIS;

QUALITY ASSURANCE;

EID: 79955729613     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2011.02.011     Document Type: Article

References (28)

1. S-H. Kim, M.A. Cohen, and S. Netessine Performance contracting in after-sales service supply chains Management Science 2007 1843 1859
2. L. Walls, J. Quigley, and J. Marshall Modeling to support reliability enhancement during product development with applications in the UK aerospace industry IEEE Transactions in Engineering Management 53 2006 263 274
3. A. Wilson, L. McNamara, and G. Wilson Information integration for complex systems Reliability Engineering and System Safety 92 2007 121 130 (Pubitemid 44332152)
4. D. Nicholls New reliability prediction methodology incorporates field and test experience Journal of the International Environmental Sciences and Technology 50 2007 5 13
5. G. Pahl, and W. Beitz Engineering Design - A Systematic Approach 1996 Springer
6. B. Efron Bayesians, frequentists and scientists Journal of American Statistical Association 99 2005 96 104
7. W.E. Vesely, S.P. Uryasev, and P.K. Samanta Failure of emergency diesel generators: a population analysis using empirical Bayes methods Reliability Engineering and System Safety 46 1994 221 229
8. J. Ferdous, M. Borhan Uddin, and M. Pandey Reliability estimation with Weibull inter failure times Reliability Engineering and System Safety 50 1995 285 296
9. J. Chen, and N.D. Singpurwalla The notion of composite reliability and its hierarchical Bayes estimation Journal of the American Statistical Association 91 1996 1474 1484
10. S.Y. Sohn Robust parameter design for integrated circuit fabrication procedure with respect to categorical characteristic Reliability Engineering and System Safety 66 1999 253 260 (Pubitemid 30531858)
11. J.K. Vaurio Uncertainties and quantification of common cause failure rates and probabilities for system analyses Reliability Engineering and System Safety 90 2005 186 195 (Pubitemid 40929526)
12. J.K. Vaurio, and K.E. Jankala Evaluation and comparison of estimation methods for failure rates and probabilities Reliability Engineering and System Safety 91 2006 209 221 (Pubitemid 41394419)
13. J. Quigley, T. Bedford, and L. Walls Estimating rate of occurrence of rare events with empirical bayes: a railway application Reliability Engineering and System Safety 92 2007 619 627 (Pubitemid 46108534)
14. R. Hodge, M. Evans, J. Marshall, J. Quigley, and L. Walls Eliciting engineering knowledge about reliability during design - lessons learnt from implementation Quality and Reliability Engineering International 17 2001 169 179 (Pubitemid 32636638)
15. N. Johnson, S. Kotz, and A. Kemp Univariate Discrete Distributions 2nd ed 1993 John Wiley and Sons
16. Panjer H, Willmot G. Insurance risk models. Society of Actuaries; 1992.
17. S. Klugman, H. Panjer, and G. Willmot Loss models: from data to decisions 1998 Wiley
18. H. Panjer Operational risk: modeling analytics 2006 John Wiley
19. M. Abramowitz, and I. Stegun Handbook of mathematical functions 1965 Dover
20. R. Butler, and A. Wood Laplace approximations for hypergeometric functions with matrix argument Annals of Statistics 30 2002 1155 1177 (Pubitemid 37095342)
21. IEC 61164. Reliability growth in product design and test - statistical estimation and test methods. International Electrotechnical Committee, Geneva, 2004.
22. B.P. Carlin, and T.A. Louis Bayes and empirical Bayes methods for data analysis 2000 Chapman & Hall/CRC
23. G. Casella An introduction to empirical Bayes data analysis American Statistician (American Statistical Association) 39 2 1985 83 87
24. M. Rausand, and K. Oien The basic concepts of failure analysis Reliability Engineering and System Safety 53 1 1996 73 83 (Pubitemid 126363286)
25. T. Bedford, J. Quigley, and L. Walls Expert elicitation for reliable system design Statistical Science 21 4 2006 428 450
26. W.S. Jewell A general framework for learning curve reliability growth models Operations Research 32 3 1984 547 555 Reliability and Maintainability (MayJune 1984)
27. J. Van Dorp, and T.A. Mazzuchi A general bayes exponential inference model for accelerated life testing Reliability Engineering and System Safety 119 1 2004 55 74 (Pubitemid 37387263)
28. J. Van Dorp, and T.A. Mazzuchi A general Bayes Weibull inference model for accelerated life testing Reliability Engineering and System Safety 90 23 2005 140 147 (Pubitemid 40929522)