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dc.date.accessioned2013-03-12T08:18:29Z
dc.date.available2013-03-12T08:18:29Z
dc.date.issued2010en_US
dc.date.submitted2011-07-08en_US
dc.identifier.urihttp://hdl.handle.net/10852/10319
dc.description.abstractIn the present paper we consider a multistate monotone system of multistate components. Following a Bayesian approach, the ambition is to arrive at the posterior distributions of the system availabilities and unavailabilities to the various levels in a fixed time interval based on both prior information and data on both the components and the system. We argue that a realistic approach is to start out by describing our uncertainty on the component availabilities and unavailabilities to the various levels in a fixed time interval, based on both prior information and data on the components, by the moments up till order m of their marginal distributions. From these moments analytic bounds on the corresponding moments of the system availabilities and unavailabilities to the various levels in a fixed time interval are arrived at. Applying these bounds and prior system information we may then fit prior distributions of the system availabilities and unavailabilities to the various levels in a fixed time interval. These can in turn be updated by relevant data on the system. This generalizes results given in (Natvig and Eide 1987) considering a binary monotone system of binary components at a fixed point of time. Furthermore, considering a simple network system, we show that the analytic bounds can be slightly improved by straightforward simulation techniques.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Statistical Research Report http://urn.nb.no/URN:NBN:no-23420en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-23420
dc.titleBayesian Assessment of Availabilities and Unavailabilities of Multistate Monotone Systemsen_US
dc.typeResearch reporten_US
dc.date.updated2011-07-08en_US
dc.creator.authorNatvig, Benten_US
dc.creator.authorGåsemyr, Jørunden_US
dc.creator.authorReitan, Tronden_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-28568en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo132118en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10319/1/stat-res-03-10.pdf


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