Inference for Burr-Ⅻ With Progressive Type-Ⅱ Censoing With Random Removals in Step-Stress Partially Accelerated Life Test

摘要：

　　Based on progressive Type-Ⅱ censoring with random removals,this paper develops the estimation of parameters from Burr-Ⅻ distribution in step-stress partially ALT under tampered random variable model.MLEs for unknown parameters have been obtained and a hybrid algorithm combined Gibbs sampling and Metropolis-Hastings sampling has been used to derive Bayesian estimation.Asymptotic normality theory and MCMC method are employed to construct the confidence intervals and HPD credible intervals at three different confidence levels.Monte Carlo simulations are then carried out for comparing the statistical performances in terms of RABias and MSE.Finally,one data set is analyzed for illustrative purposes with interval estimation and trace plot of parameter sampled by using the hybrid algorithm mentioned above.

关键词： progressive Type-Ⅱ censoring with random removals step-tress partially ALT Gibbs sampling Metropolis-Hasting sampling Bayesian estimation MCMC

作者: Tianyu Sun Yimin Shi Shan Dang

作者单位: Department of Applied Mathematics Northwestern Polytechnical University Xian, China

会议类型: 国际会议

会议名称: 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering & The 3rd International Conference on Maintenance Engineering (2012质量,可靠性,风险,维修性及安全性工程国际会议(QR2MSE 2012 & ICME 2012))

会议地点: 成都

会议语种:英文

页码: 888-893

在线出版日期: 2012-06-15（万方平台首次上网日期，不代表论文的发表时间）