The non-null distribution of the beta statistic in the test of the univariate general linear hypothesis, when the error distribution is spherically symmetric

DOI10.1016/0378-3758(88)90076-6zbMath0641.62012OpenAlexW2075523452MaRDI QIDQ1100823

Douglas P. Wiens

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90076-6

zbMATH Keywords

Mellin transformLaplace transformsspherical symmetryF-testmultiply monotone functionsgeneral linear hypothesiscompletely monotone functionsnormal scale mixturenon-null distributionerror distributionClosed form expressionsBeta statisticBeta-testcentral Betanon-central distributionnormal-errors representation

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10)

Cites Work

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• Multiply monotone functions and their Laplace transforms
• On the projections of isotropic distributions
• The intersection of random spheres and the noncentral radial error distribution for spherical models
• Metric spaces and completely monontone functions
• Elliptically Symmetric Distributions: A Review and Bibliography
• Student's t-Test Under Symmetry Conditions
• Infinite Divisibility and Variance Mixtures of the Normal Distribution

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