The Barlow-Proschan importance and its generalizations with dependent components

Srinivas Iyer

Stochastic Processes and their Applications, 1992, vol. 42, issue 2, 353-359

Abstract: For a coherent system the Barlow-Proschan measure of importance of component i, defined when the components are independent to be the probability that i causes system failure, will here be generalized to the case where the component lifetimes are jointly absolutely continuous but not necessarily independent. When the system has a modular decomposition, properties analogous to that of the Barlow-Proschan measure are proved. Xie has generalized the Barlow-Proschan importance using the system yield function when all components are independent. This will be extended here to dependent components.

Keywords: component; importance; coherent; system; Barlow-Proschan; measure; Xie; measure; dependent; components (search for similar items in EconPapers)
Date: 1992
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Citations: View citations in EconPapers (8)

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