JSM 2005 - Toronto

Abstract #302989

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 107
Type: Contributed
Date/Time: Monday, August 8, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #302989
Title: The Applications of Matric t Distribution in Predictive Inference for a Multivariate Linear Model
Author(s): B. M. Golam Kibria*+
Companies: Florida International University
Address: University Park, Miami, FL, 33199, United States
Keywords: Elliptically Contoured Distribution ; Predictive Distribution ; Matric-t ; Robustness ; Spatial Prediction ; Wishart Distribution
Abstract:

We discussed the applications of matric t distribution, which arose naturally in prediction of future response and regression matrices for a multivariate linear model. The predictive distributions of the future response and regressor matrices under the multivariate elliptically contoured distributions are obtained as matric t, which are identical to those obtained under matric normal or matric t distribution. This gives inference robustness with respect to departures from the reference case of independent sampling from the matric normal or dependent, but uncorrelated sampling from matric t distributions. Useful applications of matric t distribution in the field of spatial prediction were discussed.


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