Bayesian analysis of step-stress accelerated life test with exponential distribution

Quality and Reliability Engineering International

Volumn 28, Issue 3, 2012, Pages 353-361

  Lee, Jinsuk ^a   Pan, Rong ^b  

^a NATIONAL RENEWABLE ENERGY LABORATORY   (United States)

^b Arizona State University   (United States)

Author keywords

accelerated life testing; conjugate prior; MCMC; type II censoring

Indexed keywords

ACCELERATED LIFE TESTING; ACCELERATED LIFE TESTS; ACCELERATION FACTORS; BAYESIAN ANALYSIS; BAYESIAN APPROACHES; BAYESIAN INFERENCE; CONJUGATE PRIOR; ENGINEERING KNOWLEDGE; EXPONENTIAL DISTRIBUTIONS; MARKOV CHAIN MONTE CARLO TECHNIQUES; MCMC; POINT ESTIMATE; POSTERIOR DISTRIBUTIONS; PRIOR DISTRIBUTION; PRODUCT FAILURES; STATISTICAL PRECISION; STEP-STRESS; STRESS LEVELS; TEST UNIT; TYPE II CENSORING;

BAYESIAN NETWORKS; INFERENCE ENGINES; MONTE CARLO METHODS; PARAMETER ESTIMATION;

TESTING;

EID: 84859111471     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1251     Document Type: Article

References (21)

1. D Bai, M Kim,. Optimum simple step-stress accelerated life tests for Weibull distribution and type I censoring. Naval Res Logist 1993; 40: 193-210. (Pubitemid 23700907)
2. N Balakrishnan, D Kundu, HKT Ng, N Kannan,. Point and interval estimation for a simple step-stress model with Type-II censoring, J Qual Technol 2007; 39: 35-47. (Pubitemid 46381895)
3. MH DeGroot, and, PK Goel,. Bayesian estimation and optimal design partially accelerated life testing. Naval Res Logist 1979; 26: 223-235.
4. AD Dharmadhikari, MdM Rahman,. A model for step-stress accelerated life testing. Naval Res Logist 2003; 50: 841-868.
5. P Erto, M Giorgio,. Assessing high reliability via Bayesian approach and accelerated tests. Relib Eng Syst Saf 2002; 76: 301-310. (Pubitemid 34545609)
6. JR Van Dorp, TA Mazzuchi, GE Fornell, LR Pollock,. A Bayes approach to step-stress accelerated life testing. IEEE Trans Reliab 1996; 45: 491-498. (Pubitemid 126771060)
7. JR Van Dorp, TA Mazzuchi,. A general Bayes exponential inference model for accelerated life testing. J Statist Plan Inference 2004; 119: 55-74. (Pubitemid 37387263)
8. LA Escobar, WQ Meeker,. Planning accelerated life tests with two or more experiemtnal factors. Technometrics 1995; 37: 411-427.
9. A Gelman, JB Carlin, HS Stern, and, DB Rubin,. Bayesian Data Analysis, second edition. Chapman & Hall/CRC. Boca Raton, 2004.
10. IH Khamis, and, JJ Higgins,. Optimum 3-step step-stress tests. IEEE Trans Reliab 1996; 45: 131-134.
11. IH Khamis, JJ Higgins, A new model for step-stress testing. IEEE Trans Reliab 1998; 47: 341-345.
12. J Lee, R Pan,. Bayesian inference model for step-stress accelerated life testing with type-II censoring. Proc. Reliab Maintain Symp 2008.
13. H Ma, WQ Meeker,. Optimum step-stress accelerated life test plans for log-location-scale distributions. Naval Res Logist 2008; 55: 551-562.
14. W Nelson,. Accelerated life testing-Step-stress models and data analysis. IEEE Trans Reliab 1980; 29: 103-108. (Pubitemid 11453867)
15. W Nelson,. Accelerated Testing-Statistical Models, Test Plans, and Data Analysis. John Wiley & Sons 1990.
16. PK Pathak,. Bayes estimation of hazard & acceleration testing. IEEE Trans Reliab 1991; 40: 615-621.
17. LC Tang, YS Sun, TN Goh, and, HL Ong,. Analysis of step-stress accelerated-life-test data: A new approach. IEEE Trans Reliab 1996; 45: 69-74. (Pubitemid 126771022)
18. C Xiong,. Inferences on a simple step-stress model with Type-II censored exponential data. IEEE Trans Reliab 1998; 47: 142-146. (Pubitemid 128744682)
19. W Zhao, R Pan, A Aron, A Mettas,. Some properties of confidence bounds on reliability estimation for parts under varying stresses. IEEE Trans Reliab 2006; 55: 7-17. (Pubitemid 43380149)
20. W Zhao, E Elsayed,. A general accelerated life model for step-stress testing. IEEE Trans Reliab 2005; 37: 1059-1069. (Pubitemid 41794958)
21. Accelerated Life Testing Reference. ReliaSoft Co.,Tucson, AZ 2000; 319-323.