Weak disintegrability as a form of preservation of coherence

DOI10.1007/BF02589029zbMath1446.60003MaRDI QIDQ3598249

Pietro Rigo, Patrizia Berti

Publication date: 3 February 2009

Published in: Journal of the Italian Statistical Society (Search for Journal in Brave)

zbMATH Keywords

coherenceconditional probabilityfinite additivitystatistical inferenceprevisionconglomerabilitydisintegrability

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Axioms; other general questions in probability (60A05)

Related Items (8)

Finitely additive mixtures of probability measures ⋮ Basic ideas underlying conglomerability and disintegrability ⋮ Finitely maxitive conditional possibilities, Bayesian-like inference, disintegrability and conglomerability ⋮ Envelopes of conditional probabilities extending a strategy and a prior probability ⋮ Dominating countably many forecasts ⋮ On the existence of inferences which are consistent with a given model ⋮ On the equivalence of conglomerability and disintegrability for unbounded random variables ⋮ Full conglomerability

Cites Work

• De Finetti's coherence and statistical inference
• Coherent statistical inference and Bayes theorem
• Finitely additive conditional probabilities, conglomerability and disintegrations
• On existence and non-existence of proper, regular, conditional distributions
• On finitely additive priors, coherence, and extended admissibility
• On Transient Markov Processes with a Countable Number of States and Stationary Transition Probabilities
• Sur la structure des espaces de probabilité conditionnelle
• Finitely additive conditional probabilities
• Non-Existence of Everywhere Proper Conditional Distributions
• Coherent and continuous inference
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