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Bayesian Designing and Analysis of Simple Step-Stress Accelerated Life Test with Weibull Lifetime Distribution

Liu, Xi
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1283365980

Abstract Details

2010, Master of Science (MS), Ohio University, Industrial and Systems Engineering (Engineering and Technology).
This thesis develops a Bayesian method to analyze and plan a simple step-stress accelerated life test with Type-I censoring. It is assumed that the failure times at each stress level follow the Weibull distribution and the scale parameter is a log-linear function of the stress level. The point estimates of model parameters both by ML analysis and Bayesian analysis are organized in the thesis. The asymptotic confidence intervals and Bayesian confidence intervals are deduced. The influence of prior distribution on the estimation is studied. The Bayesian optimal plan is obtained by minimizing the pre-posterior variance of a specified low percentile of the life time distribution at the normal stress condition. Monte Carlo simulation algorithm based on Gibbs sampling is developed to find the optimal stress changing time. The maximum likelihood method is also developed for the use of comparison. Influence of prior distribution and sample size on the optimal plan is also discussed. The results show that Bayesian approach has hopeful potential in analyzing and designing reliability life test when there is prior knowledge and uncertainty for the model parameters.
Tao Yuan (Advisor)
Diana Schwerha (Committee Member)
David Koonce (Committee Member)
Andrew Snow (Committee Member)
82 p.
Industrial Engineering
bayesian approach; step-stress accelerated life test; Gibbs sampling; Type-I censoring; Weibull distribution; Asymptotic Variance

Recommended Citations

Citations

  • Liu, X. (2010). Bayesian Designing and Analysis of Simple Step-Stress Accelerated Life Test with Weibull Lifetime Distribution [Master's thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1283365980

    APA Style (7th edition)

  • Liu, Xi. Bayesian Designing and Analysis of Simple Step-Stress Accelerated Life Test with Weibull Lifetime Distribution. 2010. Ohio University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1283365980.

    MLA Style (8th edition)

  • Liu, Xi. "Bayesian Designing and Analysis of Simple Step-Stress Accelerated Life Test with Weibull Lifetime Distribution." Master's thesis, Ohio University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1283365980

    Chicago Manual of Style (17th edition)

ohiou1283365980
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This open access ETD is published by Ohio University and OhioLINK.