Random arrays and functionals with multivariate rotational symmetries

DOI10.1007/BF01199033zbMath0843.60009MaRDI QIDQ1898692

Olav Kallenberg

Publication date: 20 September 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

rotational symmetryexchangeablerandom arrayseparately exchangeablemultiple Wiener-Ito integral

Mathematics Subject Classification ID

Gaussian processes (60G15) Probability theory on algebraic and topological structures (60B99) Exchangeability for stochastic processes (60G09) Tensor products of linear operators (47A80)

Related Items (1)

Schoenberg's theorem and unitarily invariant random arrays

Cites Work

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• Isotropy and sphericity: Some characterisations of the normal distribution
• On the projections of isotropic distributions
• Representations for partially exchangeable arrays of random variables
• Symmetries on random arrays and set-indexed processes
• Extendibility of spherical matrix distributions
• Tail fields of partially exchangeable arrays
• Invariants Under Mixing which Generalize de Finetti's Theorem
• Invariants Under Mixing Which Generalize de Finetti's Theorem: Continuous Time Parameter

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