### Abstract

In this chapter the authors consider three multiple products of independent Beta random variables which are shown to have equivalent representations as the exponential of sums of independent integer Gamma r.v.’s, and as such have finite form representations for their distributions.

Original language | English |
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Title of host publication | Finite Form Representations for Meijer G and Fox H Functions |

Place of Publication | Cham |

Publisher | Springer |

Pages | 19-27 |

Number of pages | 9 |

ISBN (Electronic) | 978-3-030-28790-0 |

ISBN (Print) | 978-3-030-28789-4 |

DOIs | |

Publication status | Published - 2019 |

### Publication series

Name | Lecture Notes in Statistics |
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Publisher | Springer |

Volume | 223 |

ISSN (Print) | 0930-0325 |

ISSN (Electronic) | 2197-7186 |

### Keywords

- Characteristic function
- EGIG distribution
- Extended multiplication formula
- Gamma distribution
- GIG distribution
- Product of Beta r.v.’s

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## Cite this

Coelho, C. A., & Arnold, B. C. (2019). Multiple products of independent beta random variables with finite form representations for their distributions. In

*Finite Form Representations for Meijer G and Fox H Functions*(pp. 19-27). (Lecture Notes in Statistics; Vol. 223). Cham: Springer. https://doi.org/10.1007/978-3-030-28790-0_3