Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components

Serkan Eryilmaz, Markos V. Koutras and Ioannis S. Triantafyllou

Naval Research Logistics (NRL), 2011, vol. 58, issue 4, 344-354

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

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:58:y:2011:i:4:p:344-354

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