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非正常先验与有限可加先验下的相容推断
Conditions are given for the formal posterior of an improper prior to be coherent and applied to translation models. An example is given of a proper countably additive statistical model and a finitely additive prior for which there is no posterior.
有限可加先验、融贯性与扩展容许性
A decision maker is seen to be coherent in the sense of de Finetti if, and only if, his probabilities are computed in accordance with some finitely additive prior. If a bounded loss function is specified, then a decision rule is extended admissible (i.e., not uniformly dominated) if and only if it is Bayes for some finitely additive prior. However, if an improper countably additive prior is used, then decisions need not cohere and decision rules need not be extended…