Linear Combinations, Products and Ratios of Simplicial or Spherical Variates

DOI10.1080/03610926.2011.579702zbMath1298.62029OpenAlexW2013690574MaRDI QIDQ5299092

Wolf-Dieter Richter, F. Thauer, Steve Kalke

Publication date: 25 June 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.579702

zbMATH Keywords

spherical distributionsCauchy distributiongeometric measure representationproducts of random variablesratios of random variableslinear combinations of random variablesexact statistical distributionsgeneralized uniform distributionintersection-percentage functiondensity generating function\(l_{2,p}\)-generalized arc-length measuresimplicial distributions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15)

Related Items (7)

Exact extreme value, product, and ratio distributions under non-standard assumptions ⋮ Unnamed Item ⋮ Exact distributions of order statistics of dependent random variables from \(l_{n,p}\)-symmetric sample distributions, \(n\in\{3,4\}\) ⋮ Polyhedral star-shaped distributions ⋮ Maximum distributions for \(l_{2,p}\)-symmetric vectors are skewed \(l_{1,p}\)-symmetric distributions ⋮ Geometric approach to the skewed normal distribution ⋮ Geometric aspects of robust testing for normality and sphericity

Cites Work

• Continuous \(l_{n,p}\)-symmetric distributions
• A geometric approach to finite sample and large deviation properties in two-way ANOVA with spherically distributed error vectors
• Generalized spherical and simplicial coordinates
• Linear combinations, products and ratios of \(t\) random variables
• On the product and ratio of Laplace and Bessel random variables
• On the product and ratio for the elliptically symmetric Pearson type Vii distribution
• Sums, Products, and Ratios of Non-central Beta Variables
• Some two Sample Tests
• On the Distribution of Wald's Classification Statistic

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