Bayesian modeling of accelerated life tests with random effects

Journal of Quality Technology

Volumn 39, Issue 1, 2007, Pages 3-16

  León, Ramón V ^a,d,e   Ramachandran, Ravichandran ^a,d   Ashby, Avery J ^b   Thyagarajan, Jayanth ^c,f  

^a UNIVERSITY OF TENNESSEE   (United States)

^b BlueCross BlueShield of Tennessee   (United States)

^c Comscore Networks Inc ^*  (United States)

^d Operations and Management Science ^*  (United States)

^e ASQ   (United States)

^f Comscore Networks Inc ^*

Author keywords

Credibility interval; Markov Chain Monte Carlo (MCMC); Prediction interval; Quantile; Win BUGS

Indexed keywords

BAYESIAN NETWORKS; COMPUTER AIDED ANALYSIS; FIBERS; MARKOV PROCESSES; MONTE CARLO METHODS; PRESSURE VESSELS; SPACE SHUTTLES;

CREDIBILITY INTERVAL; MARKOV CHAIN MONTE CARLO (MCMC); PREDICTION INTERVAL; QUANTILE; WIN-BUGS;

QUALITY MANAGEMENT;

EID: 33847702568     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2007.11917669     Document Type: Article

References (19)

1. CASELLA, G. and GEORGE, E. I. (1992). "Explaining the Gibbs Sampler". American Statistician 46, pp. 167-174.
2. CHIB, S. and GREENBERG, E. (1995). "Understanding the Metropolis-Hastings Algorithm". American Statistician 49, pp. 327-335.
3. CONGDON, P. (2001). Bayesian Statistical Modeling. Wiley, New York, NY.
4. CONGDON P. (2003). Applied Bayesian Modeling. Wiley, New York, NY.
5. CROWDER, M. J.; KIMBER, A. C.; SMITH, R. L.; and SWEETING, T. J. (1991). Statistical Analysis of Reliability Data. Chapman and Hall, London.
6. FEIVESON, A. H. and KULKARNI, P. M. (2000). "Reliability of Space-Shuttle Pressure Vessels with Random Batch Effects". Technometrics 42, pp. 332-344.
7. GAMERMAN, D. (1997). Markov Chain Monte Carlo. Chapman and Hall, London.
8. GELMAN, A.; CARLIN, J. B.; STERN, H. S.; and RUBIN, D. B. (2004). Bayesian Data Analysis, 2nd edition. Chapman and Hall, Boca Raton, FL.
9. GELFAND, A. E. and SMITH, A. F. M. (1990). "Sampling- Based Approaches to Calculating Marginal Densities". Journal of the American Statistical Association 85, pp. 398-409.
10. GERSTLE, F. P. and KUNZ, S. C. (1983). "Prediction of Long-Term Failure in Kevlar 49 Composites". In Long-term Behavior of Composites, ASTM STP 813, T. K. O'Brian (ed.), American Society for Testing and Materials, pp. 263-292, Philadelphia.
11. GILKS, W. R.; RICHARDSON, S.; and S PIEGELHALTER, D. J. (1996). Markov Chain Monte Carlo in Practice. Chapman and Hall/CRC, Boca Raton, FL.
12. HAMADA, M,; POHL, A.; SPIEGELMAN, C.; and WENDEL-BERGER, J. (2003). "A Bayesian Approach to Calibration Intervals and Properly Calibrated Tolerance Intervals". Journal of Quality Technology 35, pp. 194-205.
13. IBRAHIM, J. G.; CHEN, M. H; and SINHA, D. (2001). Bayesian Survival Analysis. Springer-Verlag, New York, NY.
14. JAYAWARDHANA, A. A. and SAMARANAYAKE, X. X. (2003). "Prediction Bounds in Accelerated Life Testing: Weibull Models with Inverse Power Law". Journal of Quality Technology 35, pp. 89-103.
15. JOHNSON, V. B. and ALBERT J. H. (1999). Ordinal Data Modeling. Springer-Verlag, New York, NY.
16. MEEKER, W. Q. and ESCOBAR, L. A. (1998). Statistical Methods for Reliability Data. Wiley, New York, NY.
17. NELSON, W. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data Analyses. John Wiley, New York, NY.
18. SINGPURWALLA, N. D; CASTELLINO, V. C.; and GOLDSCHEN, D. Y. (1975). "Inference from Accelerated Life Tests Using Eyring Type Re-Parameterization". Naval Research Logistics Quarterly 22, pp. 289-296.
19. SPIEGELHALTER, D. J.; THOMAS, A.; BEST, N. G.; and GILKS, W. R. (2002). WinBUGS User Manual, Version 1.4. MRC Biostatistics Unit, Institute of Public Health, Cambridge, UK, and Department of Epidemiology & Public Health, Imperial College School of Medicine, London (www.mrc-bsu.cam.ac.uk/bugs).