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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/50352 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/50352 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/50352 archive 2 disk0/00/01/23/37 2016-03-29 13:21:58 2021-08-27 17:40:25 2016-03-29 13:21:58 article show Kryazhimskiy A. 1514 pub prog_asa consistent observational methods, max-measure of concentration, max-compatibility, marginal compatibility, max-concentrator, integration convergence, integration concentration An approach to a posteriori integration of probability distributions serving as independent a priori models of observed elementary events from a given finite set of elementary events is proposed. A posteriori integration is understood as an improvement of data given by a priori probabilities. The approach is based on the concept of an a posteriori event in the product of probability spaces associated with a priori probabilities. The conditional probability on the product space that is specified by an a posteriori event determines in a natural way the probability on the set of initial elementary events; the latter is recognized as the result of a posteriori integration of a priori models. Conditions under which the integration improves the informativeness of a priori probabilities are established, algebraic properties of integration as a binary operation on the set of probabilities are studied, and the problem of integral convergence of infinite probability sequences is considered. 2016 10.1137/S0040585X97T987466 1393 public Theory of Probability & Its Applications 60 1 62-87 TRUE 0040-585X FALSE no info:eu-repo/semantics/article