Finite Form Representations for Meijer G and Fox H Functions: Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R
Carlos A. Coelho, Barry C. ArnoldThis 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.श्रेणियाँ:
साल:
2019
संस्करण:
1st ed. 2019
प्रकाशन:
Springer International Publishing
भाषा:
english
ISBN 10:
3030287904
ISBN 13:
9783030287900
श्रृंखला:
Lecture Notes in Statistics 223
फ़ाइल:
PDF, 15.95 MB
IPFS:
,
english, 2019
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