The Bayesian approach for highly reliable electro-explosive devices using one-shot device testing

Journal of Statistical Computation and Simulation

Volumn 79, Issue 9, 2009, Pages 1143-1154

  Fan, Tsai Hung ^a   Balakrishnan, N ^b   Chang, Chia Chen ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Bayesian approach; Censoring; Exponential distribution; Failure rate; High reliability; Lifetime; Markov chain Monte Carlo method; Metropolis Hasting's alrogithm; Posterior distribution; Prior distribution

Indexed keywords

EID: 70349470987     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949650802142592     Document Type: Article

References (13)

1. C.J. Lu, W.Q. Meeker, and L.A. Escobar, A comparisonof degradation and failure-time analysis methods of estimating a time-to-failure distribution, Statistica Sinica 6 (1996), pp. 531-546.
2. W.Q. Meeker, L.A. Escobar, and C.J. Lu, Accelerated degradation tests: modelling and analysis, Technometrics 40 (1998), pp. 89-99.
3. J. Rodrigues, H. Bolfarine, and F. Lourada-Neto, Comparing several accelerated life models, Commun. Stat. 22 (1993), pp. 2297-2308.
4. S.T. Tseng and Z.C. Wen, Step-stress accelerated degradation analysis for high reliability products, J. Qual. Technol. 32 (2000), pp. 209-216.
5. W. Nelson, Weibull analysis of reliability data with few or no failures, J. Qual. Technol. 17 (1985), pp. 140-146.
6. W.Q. Meeker and L.A. Escobar, Statistical Methods for Reliability Data, Wiley, New York, 1998.
7. N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions - Vol. 1, 2nd ed., Wiley, New York, 1994.
8. N.L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions - Vol. 2, 2nd ed., Wiley, New York, 1995.
9. J.O. Berger, Statistical Decision Theory and Bayesian Analysis, 2nd ed., Springer, New York, 1985.
10. P. Muller, A generic approach to posterior integration and Gibbs sampling, Technical Report 91-09, Department of Statistics, Purdue University, West Lafayette, IN, USA, 1991.
11. A. Zellner, An Introduction to Bayesian Inference in Econometrics, Wiley, New York, 1971.
12. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller, Equations of state calculations by fast computing machines, J. Chem. Phys. 21 (1953), pp. 1087-1091.
13. W.K. Hastings, Monte Carlo sampling methods using Markov chains and their application, Biometrika 57 (1970), pp. 97-109.