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

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dc.contributor.authorYadavalli, V. S. S.en_ZA
dc.contributor.authorBekker, A.en_ZA
dc.contributor.authorMostert, P. J.en_ZA
dc.contributor.authorBotha, M.en_ZA
dc.date.accessioned2012-10-05T06:38:22Z
dc.date.available2012-10-05T06:38:22Z
dc.date.issued2001
dc.descriptionCITATION: Yadavalli, V. S. S., et al. 2001. Bayesian highest posterior density intervals for the availability of a system with a 'rest-period' for the repair facility. South African Journal of Industrial Engineering, 12(2):17-24, doi:org/10.7166/12-2-345.
dc.descriptionThe original publication is available at http://sajie.journals.ac.za
dc.description.abstractIn 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 assumed 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.en_ZA
dc.description.abstractIn hierdie artikel word die Bayes-beraming van die ewewigstoestandsbeskikbaarheid van 'n stelsel wat afwisselend gebruik word, voorgestel. Daar word veronderstel dat die herstelfasiliteit na voltooiing van elke herstel of 'n rustydperk binnegaan of nie. Die rustydperk sal geneem word met waarskynlikheid p en die waarskynlikheid dat daar nie 'n rustydperk geneem word nie, is (l - p). Jeffrey se a priori-verdeling word vir die onbekende parameters in die stelsel aanvaar. Gibbs-steekproefneming word gebruik om die a posterioriverdeling van die beskikbaarheid en daarna die hoogste a posteriori-digtheidsintervalle (HPD) af te lei. 'n Numeriese voorbeeld illustreer hierdie resultate.en_ZA
dc.description.urihttp://sajie.journals.ac.za/pub/article/view/345
dc.description.versionPublisher's versionen_ZA
dc.format.extent8 pages ; illustrations
dc.identifier.citationYadavalli, V. S. S., et al. 2001. Bayesian highest posterior density intervals for the availability of a system with a 'rest-period' for the repair facility. South African Journal of Industrial Engineering, 12(2):17-24, doi:org/10.7166/12-2-345
dc.identifier.issn2224-7890 (online)
dc.identifier.issn1012-277X (print)
dc.identifier.otherdoi:10.7166/12-2-345
dc.identifier.urihttp://hdl.handle.net/10019.1/70561
dc.language.isoen_ZAen_ZA
dc.publisherSAIIE
dc.rights.holderAuthors retain copyright
dc.subjectBayesian statistical decision theoryen_ZA
dc.subjectOne-unit systemsen_ZA
dc.subjectJeffreys' prioren_ZA
dc.subjectGibbs samplingen_ZA
dc.titleBayesian highest posterior density intervals for the availability of a system with a 'rest-period' for the repair facilityen_ZA
dc.typeArticleen_ZA
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