Sufficient conditions for the existence of disintegrations

DOI10.1023/A:1021792409934zbMath0926.60012OpenAlexW2307377000MaRDI QIDQ1283438

Patrizia Berti, Pietro Rigo

Publication date: 13 April 1999

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021792409934

zbMATH Keywords

finite additivitydisintegrationcardinalitysufficient statisticanalytic setproper regular conditional distribution

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Integration and disintegration of measures (28A50)

Related Items (10)

Convergence in distribution of nonmeasurable random elements. ⋮ 0-1 laws for regular conditional distributions ⋮ Basic ideas underlying conglomerability and disintegrability ⋮ KOLMOGOROV CONDITIONALIZERS CAN BE DUTCH BOOKED (IF AND ONLY IF THEY ARE EVIDENTIALLY UNCERTAIN) ⋮ A strong duality principle for equivalence couplings and total variation ⋮ Skorohod representation theorem via disintegrations ⋮ A conditional 0-1 law for the symmetric \(\sigma\)-field ⋮ A unifying view on some problems in probability and statistics ⋮ Bayesian inference: the role of coherence to deal with a prior belief function ⋮ A notion of conditional probability and some of its consequences

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