Signature Based Analysis of <i>m</i>-Consecutive-<i>k</i>-out-of-<i>n</i>: <i>F</i> Systems with Exchangeable Components
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Date
2011
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Publisher
Wiley-blackwell
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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. (C) 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 344-354, 2011
Description
Triantafyllou, Ioannis S./0000-0002-7512-5217; Eryilmaz, Serkan/0000-0002-2108-1781; Koutras, Markos/0000-0001-5160-2405
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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Citation
43
WoS Q
Q3
Scopus Q
Q2
Source
Volume
58
Issue
4
Start Page
344
End Page
354