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Singular normal and Wishart distributions of quaternion matrices. (Chinese. English summary) Zbl 1234.62070

Summary: In this paper, some properties of the real representative matrices of quaternion matrices are given by means of (vec)-operator and Kronecker product of matrices. Based on these, we give the density function of a quaternion singular normal matrix by using the density function of the real singular matrix, and we also give the density function of the quaternion singular Wishart matrix.

MSC:

62H10 Multivariate distribution of statistics
15B33 Matrices over special rings (quaternions, finite fields, etc.)
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