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Finite Form Representations for Meijer G and Fox H Functions

By Coelho, Carlos A.

Finite Form Representations for Meijer G and Fox H Functions Computer Science

Finite Form Representations for Meijer G and Fox H Functions

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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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
536
Release Date:
2019-12-14
Publication Date:
2019-12-14
Publisher:
Springer
Languages:
Original: English
ISBN10:
3030287890
ISBN13:
9783030287894
GPSR Manufacturer Reference:
[email protected]
Weight:
803 g
Height:
155 cm
Width:
235 cm
Thickness:
29 cm
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