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On the Mean Remaining Strength of the k-Out-of-n:F System with Exchangeable Components
Authors:Ismihan Bairamov   Burcu Ucer
Affiliation:1. Department of Mathematics, Faculty of Sciences and Literature, Izmir University of Economics, Izmir, Turkey;2. Department of Statistics, Faculty of Science, Dokuz Eylul University, Izmir, Turkey
Abstract:In this article, we consider the mean remaining strength of a k-out-of-n:F system in the stress–strength setup for the exchangeable components. We provide some results for parallel and series systems under this setup, where X1, X2, …, Xn are the strengths of the components designed under the common stress. An illustrative example is given for the k-out-of- n:F system using the multivariate FGM distribution.
Keywords:Exchangeability  k-out-of-n:F systems  Mean remaining strength  Stress–Strength model
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