LIU Jinshan, ZHANG Guoquan, . Posterior Likelihood Ratio Tests for Multivariate Linear Model Based On Normal-Inverse Wishart Prior[J]. Chinese Journal of Applied Probability and Statistics, 2005, 21(4): 351-358.
Citation:
LIU Jinshan, ZHANG Guoquan, . Posterior Likelihood Ratio Tests for Multivariate Linear Model Based On Normal-Inverse Wishart Prior[J]. Chinese Journal of Applied Probability and Statistics, 2005, 21(4): 351-358.
LIU Jinshan, ZHANG Guoquan, . Posterior Likelihood Ratio Tests for Multivariate Linear Model Based On Normal-Inverse Wishart Prior[J]. Chinese Journal of Applied Probability and Statistics, 2005, 21(4): 351-358.
Citation:
LIU Jinshan, ZHANG Guoquan, . Posterior Likelihood Ratio Tests for Multivariate Linear Model Based On Normal-Inverse Wishart Prior[J]. Chinese Journal of Applied Probability and Statistics, 2005, 21(4): 351-358.
The problem of linear hypothesis testing of the multivariate normal linear model Y-Nn×m (XB, In⊗∑) is considered under the normal-inverse Wishart prior distribution of the parameter matrices (B,∑). Two posterior likelihood ratio tests for the linear hypothesis about the parameter matrix B are constructed. The likelihood ratio statistics obtained from the posterior distribution of B are functions of the characteristic roots of the random matrices which have matric F-distribution.