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  2. Matematik
  3. Sandsynlighedsregning og statistik

Finite Form Representations for Meijer G and Fox H Functions

- Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R
Af: Barry C. Arnold, Carlos A. Coelho Engelsk Paperback

Finite Form Representations for Meijer G and Fox H Functions

- Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R
Af: Barry C. Arnold, Carlos A. Coelho Engelsk Paperback
Tjek vores konkurrenters priser

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.

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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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 515
ISBN-13: 9783030287894
Indbinding: Paperback
Udgave:
ISBN-10: 3030287890
Kategori: Sandsynlighedsregning og statistik
Udg. Dato: 14 dec 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 14 dec 2019
Forfatter(e): Barry C. Arnold, Carlos A. Coelho
Forfatter(e) Barry C. Arnold, Carlos A. Coelho

Kategori Sandsynlighedsregning og statistik

ISBN-13 9783030287894

Sprog Engelsk

Indbinding Paperback

Sider 515

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 14 dec 2019

Oplagsdato 14 dec 2019

Forlag Springer Nature Switzerland AG

Kategori sammenhænge