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On a system of components with joint lifetimes distributed as a mixture of independent exponential laws

Published online by Cambridge University Press:  14 July 2016

Claude Lefèvre  and
Marie-Pierre Malice
Claude Lefèvre*
Affiliation:
Université Libre de Bruxelles
Marie-Pierre Malice*
Affiliation:
University of Kentucky
*
∗Postal address: Université Libre de Bruxelles, Institut de Statistique, C.P. 210, Boulevard du Triomphe, B. 1050 Bruxelles, Belgium.
∗∗Postal address: University of Kentucky, College of Arts and Sciences, Department of Statistics, Lexington, KY 40506-0027, USA.
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Abstract

A system of n non-renewable components sharing a common environment is considered. The joint lifetimes of the components are taken distributed as a mixture of n independent exponential laws. It is shown how the mixing distribution can affect the number of components functioning and the reliability of a k-out-of-n system. The analysis is carried out by using different partial orderings for distribution functions.

Keywords

RELIABILITY THEORYDEPENDENT FAILURESPARTIAL ORDERINGS FOR DISTRIBUTION FUNCTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 1 , March 1989 , pp. 202 - 208
Copyright
Copyright © Applied Probability Trust 1989 

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