Reliability inference based on the three-parameter Burr type XII distribution with type II censoring
學年 106
學期 1
出版（發表）日期 2018-01-19
作品名稱 Reliability inference based on the three-parameter Burr type XII distribution with type II censoring
作品名稱（其他語言）
著者 Hua Xin; Jianping Zhu; Junge Sun; Chenlu Zheng; Tzong-Ru Tsai
單位
出版者
著錄名稱、卷期、頁數 International Journal of Reliability, Quality and Safety Engineering 25(2), p.1850010
摘要 The three-parameter Burr type XII distribution (3pBXIID) is quite flexible and contains a wide range of distribution shapes for fitting lifetime data. However, it is difficult to obtain reliable estimates of the 3pBXIID quantiles from censored samples for evaluating the reliability of lifetime data. In this work, a Metropolis–Hastings Markov chain Monte Carlo (M-H MCMC) procedure is proposed to obtain reliable maximum likelihood estimates (MLEs) of the 3pBXIID quantiles from a type II censored sample. Moreover, the parametric bootstrap percentile procedure is used to obtain the confidence interval of the quantile of the 3pBXIID. The performance of the proposed M-H MCMC method is evaluated in view of Monte Carlo simulations. Two examples, regarding the survival lifetimes of breast cancer patients and the reliability inference on the lifetimes of oil-well pumps for sucker-rod oil pumping systems, are applied to illustrate the applications of the proposed M-H MCMC method and bootstrap procedure.
關鍵字 Gamma distribution;Gibbs sampling;important sampling;Markov chain Monte Carlo;maximum likelihood estimation
語言 en
ISSN
期刊性質 國外
收錄於 EI
產學合作
通訊作者 T-R Tsai
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/113396 )

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