Some Common Structures of Distribution Problems in Geometric Probabilities and Multivariate Statistical Analysis

DOI10.1080/01966324.1989.10737256zbMath0718.62094OpenAlexW1967795574WikidataQ58297453 ScholiaQ58297453MaRDI QIDQ5750161

Arak M. Mathai, Giorgio Pederzoli

Publication date: 1989

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1989.10737256

zbMATH Keywords

multivariate normal populationsgeometric probabilitiesgeneral structuresdistributions of random volumesone-to-one functions of the likelihood ratio test statisticsproduct of beta variablesproduct of independent beta type-1 random variables

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Related Items (1)

Random r‐content of an r‐simplex from beta‐type‐2 random points

Cites Work

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• A representation in beta series for the exact density of some random volume contents
• The exact distributions and the exact percentage points for testing equality of variances in independent normal populations^†
• The volume of a random simplex in an n-ball is asymptotically normal
• Exact percentage points for testing independence
• Isotropic random simplices

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