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Bayesian inference for the precision matrix for scale mixtures of normal distributions
Journal article   Peer reviewed

Bayesian inference for the precision matrix for scale mixtures of normal distributions

V.M. Ng
Communications in Statistics - Theory and Methods, Vol.41(24), pp.4407-4412
2012
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Abstract

Baysian inference is considered for the precision matrix of the multivariate regression model with distribution of the random responses belonging to the multivariate scale mixtures of normal distributions. The posterior distribution and some identities involving expectations taken with respect to this posterior distribution are derived when the prior distribution of the parameters is from the conjugate family. The results are specialized to the case where the random responses have a matrix-t distribution and thus generalizing the results of Zellner (1976) and Muirhead (1986).

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Citation topics
9 Mathematics
9.92 Statistical Methods
9.92.220 Robust Estimation
Web Of Science research areas
Statistics & Probability
ESI research areas
Mathematics
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