## On matrix-variate Birnbaum–Saunders distributions and their estimation and application

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##### Fecha

2015##### Autor

Sánchez L.

Leiva V.

Caro-Lopera F.J.

Cysneiros F.J.A.

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Diverse phenomena from the real-world can be modeled using random matrices, allowing matrix-variate distributions to be considered. The normal distribution is often employed in this modeling, but usually the mentioned random matrices do not follow such a distribution. An asymmetric non-normal model that is receiving considerable attention due to its good properties is the Birnbaum–Saunders (BS) distribution. We propose a statistical methodology based on matrix-variate BS distributions. This methodology is implemented in the statistical software R. A simulation study is conducted to evaluate its performance. Finally, an application with real-world matrix-variate data is carried out to illustrate its potentiality and suitability.

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- Indexados Scopus [1069]