### Abstract

In this paper, we introduce a new subclass of matrix variate elliptically contoured distributions that are obtained as a scale mixture of matrix variate Cauchy distribution and exponential distribution. We investigate its properties, such as stochastic representation and characteristic function. Unlike Cauchy distribution, it is shown that the generating variate of the new distribution possesses finite moments. The distributions of the unbiased estimators of μ and Σ are derived. Furthermore, an identity involving a special function with a matrix argument is also obtained.

Original language | English |
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Pages (from-to) | 1483-1494 |

Number of pages | 12 |

Journal | Proceedings of the American Mathematical Society |

Volume | 139 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2011 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Sarr, A., & Gupta, A. K. (2011). Exponential scale mixture of matrix variate cauchy distribution.

*Proceedings of the American Mathematical Society*,*139*(4), 1483-1494. https://doi.org/10.1090/S0002-9939-2010-10568-3