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Distribution of Sum of Squares and Products Matrices for the Generalized Multilinear Matrix-T Model

✍ Scribed by Shahjahan Khan


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
129 KB
Volume
83
Category
Article
ISSN
0047-259X

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✦ Synopsis


The generalized multilinear model with the matrix-T error distribution is introduced in this paper. The sum of squares and products (SSP) matrix, as a counterpart of the Wishart matrix for the multinormal model, and the regression matrix for the errors and the observed as well as future responses are defined. The distributions of the regression matrix as well as the SSP matrix, and the prediction distribution of the future regression matrix and the future SSP matrix are derived.