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:: Volume 13, Issue 2 (2-2020) ::
J. of Stat. Sci. 2020, 13(2): 319-338 Back to browse issues page
Stochastic Comparisons of Series and Parallel‎ ‎Systems with Independent and Heterogeneous Components under the Generalized Linear Failure Rate
Ghobad Barmalzan , Abedin Haidari
Abstract:   (2550 Views)

‎This paper examines the problem of stochastic‎ ‎comparisons of series and parallel systems with independent and heterogeneous components generalized linear failure rate‎. ‎First‎, ‎we consider two series system with possibly different parameters and obtain the usual stochastic order between the series systems‎. ‎Next‎, ‎we drive the usual stochastic order between parallel systems‎. ‎We also discuss the usual stochastic order between parallel systems by using the unordered majorization and the weighted majorization order between the parameters on the Ɗп.

Keywords: ‎Generalized Linear Failure Rate Distribution‎, ‎Order Statistics‎, ‎Unordered Majorization‎, ‎Usual Stochastic Order‎, ‎Weighted Majorization.
Full-Text [PDF 5241 kb]   (368 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2017/10/17 | Accepted: 2018/09/5 | Published: 2019/08/16
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Barmalzan G, Haidari A. Stochastic Comparisons of Series and Parallel‎ ‎Systems with Independent and Heterogeneous Components under the Generalized Linear Failure Rate . J. of Stat. Sci.. 2020; 13 (2) :319-338
URL: http://jss.irstat.ir/article-1-561-en.html


Volume 13, Issue 2 (2-2020) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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