On the extendibility of finitely exchangeable probability measures

DOI10.1090/tran/7701zbMath1478.60110arXiv1501.06188OpenAlexW2964150301WikidataQ129139647 ScholiaQ129139647MaRDI QIDQ4633771

Linglong Yuan, Takis Konstantopoulos

Publication date: 6 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06188

zbMATH Keywords

set functionsigned measurepermutation\(U\)-statisticsHahn-Banachexchangeablesymmetricde Finettibounded linear functionalextendiblefinitely exchangeableurn measure

Mathematics Subject Classification ID

Bayesian inference (62F15) Normed linear spaces and Banach spaces; Banach lattices (46B99) Measures and integrals in product spaces (28A35) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Exchangeability for stochastic processes (60G09)

Related Items (6)

The de Finetti structure behind some norm-symmetric multivariate densities with exponential decay ⋮ Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions ⋮ \(L_p\)-norm spherical copulas ⋮ On the structure of exchangeable extreme-value copulas ⋮ The infinite extendibility problem for exchangeable real-valued random vectors ⋮ The distribution of the number of distinct values in a finite exchangeable sequence

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