On a representation theorem for finitely exchangeable random vectors

DOI10.1016/j.jmaa.2016.04.070zbMath1381.60083arXiv1410.1777OpenAlexW2963752265MaRDI QIDQ294123

Svante Janson, Linglong Yuan, Takis Konstantopoulos

Publication date: 9 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1777

zbMATH Keywords

measurable spacesigned measurehomogeneous polynomialexchangeablesymmetricpoint measure

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Exchangeability for stochastic processes (60G09)

Related Items (8)

Relations between ageing and dependence for exchangeable lifetimes with an extension for the IFRA/DFRA property ⋮ Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections ⋮ Testing exchangeability of multivariate distributions ⋮ Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions ⋮ On the extendibility of finitely exchangeable probability measures ⋮ An elementary proof of de Finetti's theorem ⋮ The distribution of the number of distinct values in a finite exchangeable sequence ⋮ A coupling proof of convex ordering for compound distributions

Cites Work

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• De Finetti's theorem for abstract finite exchangeable sequences
• Multinomial matrices
• Finite exchangeable sequences
• Finite forms of de Finetti's theorem on exchangeability
• An inversion relation of multinomial type
• Exchangeable processes need not be mixtures of independent, identically distributed random variables
• Combinatorial Multinomial Matrices and Multinomial Stirling Numbers
• A probabilistic interpretation of the Gaussian binomial coefficients
• Probabilistic Symmetries and Invariance Principles

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