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math.ST updates on arXiv.org

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A Matrix Variate Skew-t Distribution
Michael P. B. Gallaugher, Paul D. McNicholas · 2017-03-04 · via math.ST updates on arXiv.org

Although there is ample work in the literature dealing with skewness in the multivariate setting, there is a relative paucity of work in the matrix variate paradigm. Such work is, for example, useful for modelling three-way data. A matrix variate skew-t distribution is derived based on a mean-variance matrix normal mixture. An expectation-conditional maximization algorithm is developed for parameter estimation. Simulated data are used for illustration.

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