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With respect to tail sigma fields, standard measures possess measurable disintegrations

Authors: Lester E. Dubins and David Heath
Journal: Proc. Amer. Math. Soc. 88 (1983), 416-418
MSC: Primary 28A50; Secondary 60A10
MathSciNet review: 699405
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Abstract: Let $ P$ be a countably additive probability on a standard space, and let $ \mathcal{A}$ be a tail subfield. Though no disintegration of $ P$ with respect to $ \mathcal{A}$ that is countably additive need exist, there always is one which is finitely additive.

References [Enhancements On Off] (What's this?)

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Keywords: Conglomerability, disintegrations, finite additivity
Article copyright: © Copyright 1983 American Mathematical Society

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