On coherent conditional probabilities and disintegrations

DOI10.1023/A:1014514730066zbMath1005.60008MaRDI QIDQ1601900

Patrizia Berti, Pietro Rigo

Publication date: 27 June 2002

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

zbMATH Keywords

disintegrability\(\sigma\)-additivitycoherent conditional probabilitycoherent extensionconditional random quantity

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Axioms; other general questions in probability (60A05) Integration and disintegration of measures (28A50)

Related Items (13)

Finitely additive mixtures of probability measures ⋮ Probabilistic squares and hexagons of opposition under coherence ⋮ Basic ideas underlying conglomerability and disintegrability ⋮ Imprecise continuous-time Markov chains ⋮ KOLMOGOROV CONDITIONALIZERS CAN BE DUTCH BOOKED (IF AND ONLY IF THEY ARE EVIDENTIALLY UNCERTAIN) ⋮ Nonconglomerative coherent conditional probabilities in statistical inference ⋮ Dominating countably many forecasts ⋮ Merging and testing opinions ⋮ On the equivalence of conglomerability and disintegrability for unbounded random variables ⋮ Bayesian inference: the role of coherence to deal with a prior belief function ⋮ A notion of conditional probability and some of its consequences ⋮ Predictive distributions that mimic frequencies over a restricted subdomain ⋮ Jensen's inequality connected with a double random good

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