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:: Volume 14, Issue 2 (2-2021) ::
J. of Stat. Sci. 2021, 14(2): 487-504 Back to browse issues page
The Analysis of Weibull Lifetime Data Subject to Imperfect Repair
Hoda Kamranfar, Javad Etminan , Majid Chahkandi
Abstract:   (455 Views)
A repairable system with two types of failures is studied. Type I failure (minor failure) is removed by a minimal repair, whereas type II failure (catastrophic failure) is modified by an unplanned replacement. The first failure of the system follows a Weibull probability distribution and two maintenance policies are considered. In the first policy, the system is replaced at time T or the first type II failure, and in the second policy, the system is replaced at the nth type I failure, the first type II failure or at time T, whichever takes place first. This paper aims to derive a general representation for the likelihood function of the proposed models. The likelihood-ratio test statistic, maximum likelihood estimators and asymptotic confidence intervals for the parameters are also found. Finally, a Monte Carlo simulation is conducted to illustrate the results.
Keywords: Statistical Inference, Imperfect Repair, Repairable System, Monte Carlo Simulation.
Full-Text [PDF 342 kb]   (6 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2019/10/5 | Accepted: 2020/06/17 | Published: 2021/02/28
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Kamranfar H, Etminan J, Chahkandi M. The Analysis of Weibull Lifetime Data Subject to Imperfect Repair. J. of Stat. Sci.. 2021; 14 (2) :487-504
URL: http://jss.irstat.ir/article-1-682-en.html


Volume 14, Issue 2 (2-2021) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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