Statistical Analysis for Weibull Distributions in Presence of Right and Left Censoring
Series system reliability is based on the minimum life time of its components.Its dual, the parallel system,is based on maximum.Here,we consider the statistical analysis of both, series and parallel,systems where the components follow the Weibull parametric model.Our perspective is Bayesian.Due to the mathematical complexity, to obtain the posterior distribution we use the Metropolis-Hasting simulation method.Based on this posterior,we evaluated the evidence of the Full Bayesian Significance Test (FBST) for comparing the reliabilities of the components.The reason for using FBST is the fact that we are testing precise hypotheses.We also compute the probability of a particular component be responsible for the system failure.An example illustrates the methodology.
Metropolis-Hasting evidence significance test
Adriano Polpo Marcos Coque-Jr. Carlos Pereira
Dept.of Statistics / UFSCar Sao Carlos,Brazil Bradesco Osasco.Brazil IME / USP Sao Paulo,Brazil
国际会议
2009 8th International Conference on Reliability,Maintainability and Safety(第八届中国国际可靠性、维修性、安全性会议)
成都
英文
219-223
2009-08-24(万方平台首次上网日期,不代表论文的发表时间)