Elliptically contoured models in statistics
Elliptically contoured models in statistics
Wishart and pseudo-Wishart distributions and some applications to shape theory
Journal of Multivariate Analysis
Predictive inference for the elliptical linear model
Journal of Multivariate Analysis
Bayesian statistical inference on elliptical matrix distributions
Journal of Multivariate Analysis
Robust improvement in estimation of a mean matrix in an elliptically contoured distribution
Journal of Multivariate Analysis
Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model
Journal of Multivariate Analysis
Singular random matrix decompositions: Jacobians
Journal of Multivariate Analysis
Singular random matrix decompositions: distributions
Journal of Multivariate Analysis
The matrix-t distribution and its applications in predictive inference
Journal of Multivariate Analysis
A note about measures and Jacobians of singular random matrices
Journal of Multivariate Analysis
Journal of Multivariate Analysis
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We have derived the predictive distributions of future responses and the regression matrix in the multivariate linear regression model, under the singular or nonsingular matrix variate elliptically contoured distribution with noninformative prior, with respect to the Hausdorff measure. The predictive distributions are also derived under the singular or nonsingular matrix variate normal distribution with normal-inverse Wishart conjugate prior as a particular case of the matrix elliptically contoured distribution. The predictive distributions are singular or nonsingular matrix-T distributions introduced by Diaz-Garcia and Gutierrez-Jaimez [J.A. Diaz-Garcia, R. Gutierrez-Jaimez, Distribution of the generalized inverse of a random matrix and its applications, J. Statist. Plann. Inference 136 (2006) 183-192], both in the noninformative and conjugate prior cases. The first result gives inference robustness with respect to departures from the underlying distribution assumption in the direction of elliptically contoured distributions, even in the singularly distributed case.