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Dynamic Signatures of Coherent Systems Based on Sequential Order Statistics

Part of: Distribution theory Special processes

Published online by Cambridge University Press:  30 January 2018

M. Burkschat  and
J. Navarro
M. Burkschat*
Affiliation:
Otto-von-Guericke University Magdeburg
J. Navarro*
Affiliation:
Universidad de Murcia
*
∗ Postal address: Institute of Mathematical Stochastics, Otto-von-Guericke University Magdeburg, D-39016 Magdeburg, Germany. Email address: [email protected]
∗∗ Postal address: Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain. Email address: [email protected]
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Abstract

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Sequential order statistics can be used to describe the ordered lifetimes of components in a system, where the failure of a component may affect the performance of remaining components. In this paper mixture representations of the residual lifetime and the inactivity time of systems with such failure-dependent components are considered. Stochastic comparisons of differently structured systems are obtained and properties of the weights in the mixture representations are examined. Furthermore, corresponding representations of the residual lifetime and the inactivity time of a system given the additional information about a previous failure time are derived.

Keywords

signaturecoherent systemsequential order statisticsmixturemixed system

MSC classification

Primary: 62E15: Exact distribution theory
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 50 , Issue 1 , March 2013 , pp. 272 - 287
Copyright
Copyright © Applied Probability Trust 2013 

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