Geometric approach to the skewed normal distribution

DOI10.1016/J.JSPI.2012.06.009zbMath1348.60017OpenAlexW2008539209MaRDI QIDQ451210

John Venz, Stefan Scheutzow, Thomas Günzel, Wolf-Dieter Richter, Kay Schicker

Publication date: 21 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.06.009

zbMATH Keywords

intersection percentage functiongeometric measure representationmethod of indivisiblesskewed elliptical distributionskewed normal distributionstochastic representations

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

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, \(n\in\{3,4\}\) ⋮ Extreme value distributions for dependent jointly \(l_{n,p}\)-symmetrically distributed random variables ⋮ Exact distributions of order statistics from \(l_{n,p}\)-symmetric sample distributions ⋮ Geometric disintegration and star-shaped distributions ⋮ On \((p_{1},\dots,p_{k})\)-spherical distributions

Cites Work

• Continuous \(l_{n,p}\)-symmetric distributions
• Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations
• On the Unification of Families of Skew-normal Distributions
• A unified view on skewed distributions arising from selections
• Linear Combinations, Products and Ratios of Simplicial or Spherical Variates
• A general class of multivariate skew-elliptical distributions
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