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来源类型Article
规范类型其他
DOI10.1137/S0040585X97T987466
A Posteriori Integration of Probabilities. Elementary Theory.
Kryazhimskiy A
发表日期2016
出处Theory of Probability & Its Applications 60 (1): 62-87
出版年2016
语种英语
摘要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.
主题Advanced Systems Analysis (ASA)
关键词consistent observational methods, max-measure of concentration, max-compatibility, marginal compatibility, max-concentrator, integration convergence, integration concentration
URLhttp://pure.iiasa.ac.at/id/eprint/12337/
来源智库International Institute for Applied Systems Analysis (Austria)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/130609
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Kryazhimskiy A. A Posteriori Integration of Probabilities. Elementary Theory.. 2016.
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