logpdf_matrix_student_t

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function logpdf_matrix_student_t(X:Real[_,_], k:Real, M:Real[_,_], U:LLT, V:LLT) -> Real

Observe a matrix Student's $t$-distribution variate with location and scale.

• X: The variate.
• k: Degrees of freedom.
• M: Mean.
• U: Among-row covariance.
• V: Among-column covariance.

Returns: the log probability density.

function logpdf_matrix_student_t(X:Real[_,_], k:Real, M:Real[_,_], U:LLT, v:Real[_]) -> Real

Observe a matrix Student's $t$-distribution variate with location and diagonal scale.

• X: The variate.
• k: Degrees of freedom.
• M: Mean.
• U: Among-row covariance.
• v: Independent within-column covariance.

Returns: the log probability density.