Matrix normal distribution and elliptic distribution (2410.14490v1)

Abstract: In this paper, we introduce the matrix normal distribution according to the tensor decomposition of its covariance. Based on the canonical diagonal form, the moment generating function of sample covariance matrix and the distribution of latent roots are explicitly calculated. We also discuss the connections between matrix normal distributions, elliptic distributions, and their relevance to multivariate analysis and matrix variate distributions.