### Abstract

In this chapter the authors use the results in the three theorems in the previous chapter to obtain the p.d.f.’s and c.d.f.’s of all the products of independent Beta r.v.’s in those theorems in terms of the Meijer G and the Fox H functions as well as their finite forms based on the EGIG (Exponentiated Generalized Integer Gamma) p.d.f. and c.d.f., this way obtaining the equivalences among several instances of the Meijer G and Fox H functions and their finite representations through the EGIG p.d.f. and c.d.f.

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 | 29-70 |

Number of pages | 42 |

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

- Distribution of products of Beta r.v.’s
- EGIG distribution
- Gamma random variables

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## Cite this

Coelho, C. A., & Arnold, B. C. (2019). Finite form representations for extended instances of meijer G and fox H functions. In

*Finite Form Representations for Meijer G and Fox H Functions*(pp. 29-70). (Lecture Notes in Statistics; Vol. 223). Cham: Springer. https://doi.org/10.1007/978-3-030-28790-0_4