Finite form representations for extended instances of meijer G and fox H functions

Carlos A. Coelho, Barry C. Arnold

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationFinite Form Representations for Meijer G and Fox H Functions
Place of PublicationCham
PublisherSpringer
Pages29-70
Number of pages42
ISBN (Electronic)978-3-030-28790-0
ISBN (Print)978-3-030-28789-4
DOIs
Publication statusPublished - 2019

Publication series

NameLecture Notes in Statistics
PublisherSpringer
Volume223
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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    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