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:: Volume 11, Issue 1 (9-2017) ::
J. of Stat. Sci. 2017, 11(1): 175-196 Back to browse issues page
Some Results on General Inactivity Time of (n-k+1)-Out-of-n Systems with Dependent Components
Shahrokh Hashemi-Bosra , Ebrahim Salehi
Abstract:   (1549 Views)

The (n-k+1)-out-of-n systems are important types of coherent systems and have many applications in various areas of engineering. In this paper, the general inactivity time of failed components of (n-k+1)-out-of-n system is studied when the system fails at time t>0. First we consider a parallel system including two exchangeable components and then using Farlie-Gumbel-Morgenstern copula, investigate the behavior of mean inactivity time of failed components of the system. In the next part, (n-k+1)-out-of-n systems with exchangeable components are considered and then, some stochastic ordering properties of the general inactivity time of the systems are presented based on one sample or two samples.

Keywords: Mean inactivity time, Reversed hazard rate, Order statistics, Copula function, Stochastic orders, Reliability
Full-Text [PDF 250 kb]   (222 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2016/05/3 | Accepted: 2017/02/16 | Published: 2017/12/16
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Hashemi-Bosra S, Salehi E. Some Results on General Inactivity Time of (n-k+1)-Out-of-n Systems with Dependent Components. J. of Stat. Sci.. 2017; 11 (1) :175-196
URL: http://jss.irstat.ir/article-1-398-en.html


Volume 11, Issue 1 (9-2017) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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