Bayesian highest posterior density intervals for the availability of a system with a ‘rest period’ for the repair facility

Bayesian highest posterior density intervals for the availability of a system with a ‘rest period’ for the repair facility

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Article ID: iaor20022694
Country: South Africa
Volume: 12
Issue: 2
Start Page Number: 17
End Page Number: 24
Publication Date: Jan 2001
Journal: SA Journal of Industrial Engineering
Authors: , , ,
Keywords: statistics: decision
Abstract:

In this paper Bayesian estimation for the steady state availability of a one-unit system with a rest-period for the repair facility is studied. The assumption is that the repair facility takes rest with probability p after each repair completion and the facility does not take the same with probability (l − p). The prior information is asssumed to be vague and the Jeffreys' prior is used for the unknown parameters in the system. Gibbs sampling is used to derive the posterior distribution of the availability and subsequently the highest posterior density (HPD) intervals. A numerical example illustrates these results.

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