Bernstein operators and finite exchangeability

DOI10.1016/0047-259X(91)90005-MzbMath0749.60010MaRDI QIDQ1182746

Klaus Pötzelberger

Publication date: 28 June 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

finite exchangeabilityapproximation by Bernstein operatorsDe Finetti- type theoremspartially exchangeable distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Exchangeability for stochastic processes (60G09)

Cites Work

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• De Finetti-type theorems: An analytical approach
• A dozen de Finetti-style results in search of a theory
• Some new representations in bivariate exchangeability
• Conditional limit theorems for exponential families and finite versions of de Finetti's theorem
• Finite exchangeable sequences
• Representations for partially exchangeable arrays of random variables
• Extendibility of spherical matrix distributions
• The approximation of continuous functions by positive linear operators
• Symmetric Measures on Cartesian Products
• Exchangeable processes need not be mixtures of independent, identically distributed random variables

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