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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1137/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 |
URL | http://pure.iiasa.ac.at/id/eprint/12337/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/130609 |
推荐引用方式 GB/T 7714 | Kryazhimskiy A. A Posteriori Integration of Probabilities. Elementary Theory.. 2016. |
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kryazhimskiy2016.pdf(296KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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