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Probability Models and Likelihood Functions for Window Censored Repair Process
Jafar Ahmadi , Mansoureh Razmkhah
Abstract:   (2352 Views)

Consider a repairable system which starts operating at t=0. Once the system fails, it is immediately replaced by another one of the same type or it is repaired and back to its working functions. In this paper, the system's activity is studied from t>0 for a fixed period of time w. Different replacement policies are considered. In each cases, for a fixed period of time w, the probability model and likelihood function of repair process, say window censored, are obtained. The obtained results depend on the lifetime distribution of the original system, so, expression for the maximum likelihood estimator and Fisher information are derived, by assuming the lifetime follows an exponential distribution.

Keywords: Renewal process, Minimal repair, Complete repair, Window censoring, Maximum likelihood estimator, Fisher information
Full-Text [PDF 4291 kb]   (372 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2011/11/7 | Accepted: 2016/06/23 | Published: 2017/02/27
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Ahmadi J, Razmkhah M. Probability Models and Likelihood Functions for Window Censored Repair Process. J. of Stat. Sci.. 2017; 11 (1)
URL: http://jss.irstat.ir/article-1-82-en.html
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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