An application of the MTP2 property on bounds on system reliability |
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Authors: | J. Gå semyr,B. Natvig |
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Abstract: | This paper is concerned with the joint prior distribution of the dependent reliabilities of the components of a binary system. When this distribution is MTP2 (Multivariate Totally Positive of Order 2), it is shown in general that this actually makes the machinery of Natvig and Eide [7] available to arrive at the posterior distribution of the system's reliability, based on data both at the component and system level. As an illustration in a common environmental stress case, the joint prior distribution of the reliabilities is shown to have the MTP2 property. We also show, similarly to Gåsemyr and Natvig [3], for the case of independent components given component reliabilities how this joint prior distribution may be based on the combination of expert opinions. A specific system is finally treated numerically. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 741–755, 1997 |
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Keywords: | common cause failures combined judgement |
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