Representations of component importance for coherent systems with exchangeable components

Journal of Applied Probability, vol. 57, pp. 385–406

Abstract

Abstract Two definitions of Birnbaum’s importance measure for coherent systems are studied in the case of exchangeable components. Representations of these measures in terms of distribution functions of the ordered component lifetimes are given. As an example, coherent systems with failure-dependent component lifetimes based on the notion of sequential order statistics are considered. Furthermore, it is shown that the two measures are ordered in the case of associated component lifetimes. Finally, the limiting behavior of the measures with respect to time is examined.

Authors 2

1. Simon Pitzen corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

2. Marco Burkschat corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University