Web Reference: Step 5: The independnece of the two linear functions Both ̄X and vec(CX) are linear function of the same MVN-distributed random vector ̃X Their covariance matrix is zero, which indicates that they are independent by Theorem on “Independence of Normals Under Jointly Normal”. Welcome to the course notes for STAT 505: Applied Multivariate Statistical Analysis. These notes are designed and developed by Penn State’s Department of Statistics and offered as open educational resources. This book originally grew out of our lecture notes for an "Applied Multivariate Analysis" course offered jointly by the Statistics Department and the School of Business at the University of Wisconsin-Madison.
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