Finite Form Representations for Meijer G and Fox H Functions Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R /

• Main Authors: Coelho, Carlos A. (Author, http://id.loc.gov/vocabulary/relators/aut), Arnold, Barry C. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Statistics, 223
• Subjects: Statistics .; Statistical Theory and Methods.; Statistics and Computing/Statistics Programs.; Applied Statistics.

This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know...

Table of Contents:

• Preface
• Setting the Scene
• The Meijer G and Fox H Functions
• Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions
• Finite Form Representations for Extended Instances of Meijer G and Fox H Functions
• Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics
• Mathematica, MAXIMA and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter
• Approximate Finite Forms for the Cases not Covered by the Finite Representation Approach
• Index.