Objective Bayesian analysis of accelerated competing failure models under Type-I censoring

Computational Statistics and Data Analysis

Volumn 55, Issue 10, 2011, Pages 2830-2839

  Xu, Ancha ^a   Tang, Yincai ^b  

^a WENZHOU UNIVERSITY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

Competing failure; Gibbs sampling; Objective Bayes; Reference prior; Weibull distribution

Indexed keywords

COMPETING FAILURE; GIBBS SAMPLING; OBJECTIVE BAYES; REFERENCE PRIOR; WEIBULL;

BAYESIAN NETWORKS; ESTIMATION; INFERENCE ENGINES; NUMERICAL METHODS; PARAMETER ESTIMATION; STATISTICAL TESTS;

WEIBULL DISTRIBUTION;

EID: 79958165451     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.04.009     Document Type: Article

References (20)

1. J.O. Berger The case for objective Bayesian analysis (with discussion) Bayesian Analysis 1 2006 385 402
2. J.O. Berger, and J.M. Bernardo Estimating a product of means: Bayesian analysis with reference priors Journal of the American Statistical Association 84 1989 200 207
3. J.O. Berger, and J.M. Bernardo On the development of reference priors (with discussion) J.M. Bernardo, J.O. Berger, A.P. Dawid, A.F.M. Smith, Bayesian Statistics vol. 4 1992 Clarendon Press Oxford 35 60
4. J.O. Berger, and D. Sun Bayesian analysis for the Poly-Weibull distribution Journal of the American Statistical Association 88 1993 1412 1418
5. J.M. Bernardo Reference posterior distributions for Bayesian inference (with discussion) Journal of the Royal Statistical Society B41 1979 113 147
6. C. Bunea, and T.A. Mazzuchi Bayesian accelerated life testing under competing failure modes IEEE Transactions on Reliability 54 2005 152 157
7. A.C. Davison, and F. Louzada-Neto Inference for the Poly-Weibull Model The Statistician 49 2000 189 196
8. W.R. Gilks, and P. Wild Adaptive rejection sampling for gibbs sampling Applied Statistics 41 1992 337 348
9. Gouno, E.; 2000. A Bayesian method for inference on stepstress testing, in: Second International Conference on Mathematical Methods Abstracts book, vol. 2, pp. 473476.
10. H. Jeffreys Theory of Probability 1961 Oxford Univ. Press Oxford
11. R.E. Kass, and L. Wasserman The selection of prior distributions by formal rules Journal of the American Statistical Association 91 1996 1343 1370
12. C.M. Kim, and D.S. Bai Analyses of accelerated life test data under two failure modes International Journal of Reliability, Quality and Safety Engineering 2002 111 126
13. J.P. Klein, and A.P. Basu Weibull accelerated life tests when there are competing causes of failure Communications in Statistics-Theory and Methods A10 1981 2073 2100
14. J.P. Klein, and A.P. Basu Accelerated life tests under competing Weibull causes of failure Communications in Statistics-Theory and Methods A11 1982 2271 2286
15. W. Nelson Accelerated Testing: Statistical Models, Test Plans, and Data Analyses 1990 John Wiley & Sons, Inc.
16. D. Sun A note on noninformative priors for Weibull distributions Journal of Statistical Planning and Inference 61 1997 319 338
17. J.R. Van Dorp, and T.A. Mazzuchi A general Bayes exponential inference model for accelerated life testing Journal of Statistical Planning and Inference 119 2004 55 74 (Pubitemid 37387263)
18. J.R. Van Dorp, T.A. Mazzuchi, G.E. Fornell, and L.R. Pollock A Bayes approach to step-stress accelerated life testing IEEE Transactions on Reliability 45 1996 491 498 (Pubitemid 126771060)
19. L. Wang, and B. Wang Statistical analysis for no-failure data-modified likelihood function method Chinese Applied Probabilty and Statistics 11 1996 64 70
20. Zhao, W.; Elsayed, E.A.; 2004. An accelerated life testing under competing failure modes, in: The Annual Reliability and Maintainability Symposium.