A new family of matrix variate distributions indexed by elliptical models is proposed in this work. The termed multimatricvariate distributions emerge as a generalisation of the bimatrix variate distributions based on matrix variate Gamma distributions and independence. Some properties and special cases of the multimatricvariate distributions are also derived. Two new interesting Jacobians in the area are also provided. Finally, an application for time dependent data of DNA molecules is studied.

中文翻译：

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椭圆模型下的多矩阵变量分布

在这项工作中提出了一个由椭圆模型索引的新矩阵变量分布族。在被称为multimatricvariate分布出现基于矩阵变量Gamma分布和独立的双矩阵变量分布的推广。还导出了多矩阵变量分布的一些性质和特殊情况。还提供了该地区两个新的有趣的雅可比行列式。最后，研究了 DNA 分子时间相关数据的应用。