Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components |
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| Authors: | Serkan Eryilmaz Markos V Koutras Ioannis S Triantafyllou |
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| Institution: | 1. Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey;2. Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Dimitriou str., 18534 Piraeus, Greece |
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| Abstract: | In this article, we study reliability properties of m‐consecutive‐k‐out‐of‐n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature‐based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m‐consecutive‐k‐out‐of‐n: F systems. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011 |
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| Keywords: | m‐consecutive‐k‐out‐of‐n: F system Samaniego's signature exchangeable distribution order statistics mean residual lifetime stochastic ordering |
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