What question did this study set out to answer?

The research aims to introduce and analyze a matrix-variate skew normal distribution for asymmetric matrix-valued data.

Matrix‐Variate Skew Normal Distribution: Properties and Estimation

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The research aims to introduce and analyze a matrix-variate skew normal distribution for asymmetric matrix-valued data.
Developed the matrix-variate skew normal distribution and its extended version.
Implemented an EM-type algorithm for maximum likelihood estimation.
Conducted simulation studies and applied the method to historical Dow Jones dividend data.
Identified key theoretical properties of the matrix-variate skew normal distribution.
Demonstrated effective maximum likelihood estimation through simulations.
Showed practical relevance in modeling asymmetric dependence structures using dividend data.

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This randomized trial investigates the matrix-variate skew normal distribution, highlighting its application in modeling asymmetric data.

Correia et al. (2026) studied this question.

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