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dc.creatorAna Prior
dc.creatorMarina Kleptsyna
dc.creatorPaula Milheiro de Oliveira
dc.description.abstractIn this work, we consider a 2n-dimension OrnsteinUhlenbeck (OU) process with a singular diffusion matrix. This process represents a currently used model for mechanical systems subject to random vibrations. We study the problem of estimating the drift parameters of the stochastic differential equation that governs the OU process. The maximum likelihood estimator proposed and explored in Koncz (J Anal Math 13(1):7591, 1987) is revisited and applied to our model. We prove the local asymptotic normality property and the convergence of moments of the estimator. Simulation studies based on representative examples taken from the literature illustrate the obtained theoretical results. (c) 2016, Springer Science+Business Media Dordrecht.
dc.subjectEstatística, Matemática aplicada, Teoria das probabilidades, Matemática
dc.subjectStatistics, Applied mathematics, Probability theory, Mathematics
dc.titleOn maximum likelihood estimation of the drift matrix of a degenerated O-U process
dc.typeArtigo em Revista Científica Internacional
dc.contributor.uportoFaculdade de Engenharia
dc.subject.fosCiências exactas e naturais::Matemática
dc.subject.fosNatural sciences::Mathematics
Appears in Collections:FEUP - Artigo em Revista Científica Internacional

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