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Bayes estimates in multivariate semiparametric linear models
Authors:Olaf Bunke
Institution:Institut fur Mathematik, Humboldt Universitat zu Berlin , Unter den Linden 6, Berlin, 10099, Germany
Abstract:Bayes estimates are derived in multivariate linear models with unknown distribution. The prior distribution is defined using a Dirichlet prior for the unknown error distribution and a normal-Wishart distribution for the parameters. The posterior distribution is determined and explicit expressions are given in the special cases of location-scale and two-sample models. The calculation of self-informative limits of Bayes estimates yields standard estimates.
Keywords:Multivariate linear model  Location model  Scale model  Linear regression
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