Finite Form Representations for Meijer G and Fox H Functions

Name: Finite Form Representations for Meijer G and Fox H Functions
SKU: 31056617
Price: 295.00 NZD
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Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R

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Format:

Paperback / softback

Series:

Lecture Notes in Statistics

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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®, 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.

Author Biography:

Carlos A. Coelho is a Full Professor at the Mathematics Department of Nova University of Lisbon, Portugal. He obtained his Ph.D. in Biostatistics from the University of Michigan, USA. An Elected Member of the International Statistical Institute, he is primarily pursuing research in the fields of mathematical statistics and distribution theory, e.g. exact and near-exact distributions for likelihood ratio statistics used in multivariate analysis. Barry C. Arnold is a Distinguished Professor in the Department of Statistics at the University of California, Riverside, USA. He holds a Ph.D. in Statistics from Stanford University. He is a Fellow of both the American Statistical Association and the Institute of Mathematical Statistics and a former Elected Member of the International Statistical Institute. His research interests include multivariate models, inequality measurement and ordered data.

Release date NZ

December 14th, 2019

Author

Audience

Postgraduate, Research & Scholarly

Edition

1st ed. 2019

Illustrations

116 Illustrations, color; 41 Illustrations, black and white; XVIII, 515 p. 157 illus., 116 illus. in color.

Pages

515

Series

Lecture Notes in Statistics

ISBN-13

9783030287894

Product ID

31056617

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