An application of the MTP2 property on bounds on system reliability

✍ Scribed by J. Gåsemyr; B. Natvig

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 100 KB
• Volume: 44
• Category: Article
• ISSN: 0894-069X
• DOI: 10.1002/(sici)1520-6750(199712)44:8<741::aid-nav3>3.0.co;2-a

✦ Synopsis

This paper is concerned with the joint prior distribution of the dependent reliabilities of the components of a binary system. When this distribution is MTP 2 (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 MTP 2 property. We also show, similarly to Ga ˚semyr 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.