Affordable Access

Publisher Website

On signature-based expressions of system reliability

Authors
Journal
Journal of Multivariate Analysis
0047-259X
Publisher
Elsevier
Publication Date
Volume
102
Issue
10
Identifiers
DOI: 10.1016/j.jmva.2011.05.007
Keywords
  • System Signature
  • System Reliability
  • Coherent System
  • Order Statistic

Abstract

Abstract The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors of systems. In particular, it provides an interesting signature-based representation of the system reliability in terms of reliabilities of k -out-of- n systems. In the non-i.i.d. case, we show that, at any time, this representation still holds true for every coherent system if and only if the component states are exchangeable. We also discuss conditions for obtaining an alternative representation of the system reliability in which the signature is replaced by its non-i.i.d. extension. Finally, we discuss conditions for the system reliability to have both representations.

There are no comments yet on this publication. Be the first to share your thoughts.