The exact discrete model of a system of linear stochastic differential equations driven by fractional noise

dc.contributor.authorSimos, Theodoreen
dc.date.accessioned2015-11-24T17:05:27Z
dc.date.available2015-11-24T17:05:27Z
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/11325
dc.rightsDefault Licence-
dc.subjectStochastic differential equations, fractional noise, long memory, exact discretizationen
dc.titleThe exact discrete model of a system of linear stochastic differential equations driven by fractional noiseen
heal.abstractThis paper derives the exact discrete model (EDM) of a kth-order system of stochastic differential equations driven by a vector fractional noise under fixed initial conditions. The EDM can be used for the Gaussian estimation and forecasting with longmemory discrete-time equispaced data. Detailed formulae which are necessary for the construction and numerical evaluation of the Gaussian likelihood under two observation schemes are established. State variables can be observed either at equispaced points in time or as integrals over the observational interval.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primary10.1111/j.1467-9892.2008.00593.x-
heal.journalNameJournal of Time Series Analysisen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2008-
heal.publisherBlackwell Publishingen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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