0-1 laws for regular conditional distributions

DOI10.1214/009117906000000845zbMath1118.60004arXivmath/0606604OpenAlexW2020528493MaRDI QIDQ2371950

Patrizia Berti, Pietro Rigo

Publication date: 9 July 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606604

zbMATH Keywords

measurabilitytail \(\sigma\)-field

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Zero-one laws (60F20) Axioms; other general questions in probability (60A05)

Related Items (7)

Finitely additive mixtures of probability measures ⋮ Basic ideas underlying conglomerability and disintegrability ⋮ Kernel based Dirichlet sequences ⋮ A class of models for Bayesian predictive inference ⋮ A conditional 0-1 law for the symmetric \(\sigma\)-field ⋮ Learning the fundamentals in a stationary environment ⋮ A notion of conditional probability and some of its consequences

Cites Work

• Unnamed Item
• Measurable functions and almost continuous functions
• On existence and non-existence of proper, regular, conditional distributions
• Sufficient statistics and extreme points
• Sufficient conditions for the existence of disintegrations
• Improper regular conditional distributions
• Measurable sets of measures
• Integral Representations of Invariant Measures
• On perfect measures
• Non-Existence of Everywhere Proper Conditional Distributions

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