Spherical distributions: Schoenberg (1938) revisited

DOI10.1016/j.exmath.2005.01.002zbMath1085.62061OpenAlexW2170163424MaRDI QIDQ2573227

Frederieke van Perlo-ten Kleij, A. G. M. Steerneman

Publication date: 7 November 2005

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2005.01.002

zbMATH Keywords

representation theoremcharacteristic functionsexchangeabilityspherical distributionsmixture of normal distributions

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Exchangeability for stochastic processes (60G09)

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Cites Work

• A characterization of spherical distributions
• On the theory of elliptically contoured distributions
• Spherical harmonics
• On random sequences with spherical symmetry
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