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  7. Finite Form Representations for Meijer G and Fox H Functions

Finite Form Representations for Meijer G and Fox H Functions

Applied to Multivariate Likelihood Ratio Tests Using Mathematica(r), Maxima and R

Carlos A Coelho, Barry C Arnold
Livre broché | Anglais | Lecture Notes in Statistics | n° 223
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Description

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 if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently.

The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica(R), MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.

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Auteur(s) :
Editeur:

Contenu

Nombre de pages :
515
Langue:
Anglais
Collection :
Tome:
n° 223

Caractéristiques

EAN:
9783030287894
Date de parution :
14-12-19
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
743 g

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