De Finetti's theorem for abstract finite exchangeable sequences

DOI10.1007/s10959-006-0028-zzbMath1108.60001OpenAlexW1990931563WikidataQ55969191 ScholiaQ55969191MaRDI QIDQ867083

Gábor J. Székely, G. Jay. Kerns

Publication date: 14 February 2007

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-006-0028-z

zbMATH Keywords

extreme pointssigned measurede Finetti's theoremExchangeable variables

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Distribution theory (60E99) Statistical distribution theory (62E99)

Related Items (11)

On a representation theorem for finitely exchangeable random vectors ⋮ Relations between ageing and dependence for exchangeable lifetimes with an extension for the IFRA/DFRA property ⋮ The distance correlation \(t\)-test of independence in high dimension ⋮ Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections ⋮ Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions ⋮ Conversations with Gábor J. Székely ⋮ Fast exact Bayesian inference for sparse signals in the normal sequence model ⋮ On the extendibility of finitely exchangeable probability measures ⋮ Infinite-body optimal transport with Coulomb cost ⋮ A coupling proof of convex ordering for compound distributions ⋮ Random assignment processes: strong law of large numbers and de Finetti theorem

Cites Work

• Finite partial exchangeability
• De Finetti-type theorems: An analytical approach
• A dozen de Finetti-style results in search of a theory
• Finite exchangeable sequences
• Uses of exchangeability
• Finite forms of de Finetti's theorem on exchangeability
• Probability, causality and the empirical world: a Bayes-de Finetti-Popper-Borel synthesis
• Symmetric Measures on Cartesian Products
• Exchangeable processes need not be mixtures of independent, identically distributed random variables
• Consistency a Posteriori
• Note on the Consistency of the Maximum Likelihood Estimate
• On a class of exchangeable sequences
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