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Barbosa, Emanuel Pimentel
Languages: English
Types: Doctoral thesis
Subjects: QA
This thesis considers the Bayesian analysis of general multivariate DLM's (Dynamic Linear\ud Models) for vector time series forecasting where the observational variance matrices are\ud unknown. This extends considerably some previous work based on conjugate analysis for\ud a special sub—class of vector DLM's where all marginal univariate models follow the same\ud structure.\ud The new methods developed in this thesis, are shown to have a better performance than\ud other competing approaches to vector DLM analysis, as for instance, the one based on the\ud Student t filter.\ud Practical aspects of implementation of the new methods, as well as some theoretical properties\ud are discussed, further model extensions are considered, including non—linear models\ud and some applications with real and simulated data are provided.
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    • i) Observation Equation : yt = FtT .tlt + vt, vt "-' N (0;Vt) ii) System Equation : et = G. 2t _ i +tut , tut---• N (0; W) Hartigan,J.A.(1969) . Linear Bayes methods . J. Roy. Statist. Soc. , B , 31 , 446-454.
    • West,M.(1981) . Robust sequential approximate Bayesian estimation. J. Roy. Statist. Soc. - B , 43 , 157-166.
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