Updating Subjective Probability 论文

1982Journal of the American Statistical Association引用 301
Bayesian Modeling and Causal InferenceData Management and AlgorithmsRough Sets and Fuzzy Logic

摘要

Abstract Jeffrey's rule for revising a probability P to a new probability P* based on new probabilities P* (Ei ) on a partition {Ei } i = 1 n is P*(A) = Σ P(A| Ei ) P* (Ei ). Jeffrey's rule is applicable if it is judged that P* (A | Ei ) = P(A | Ei ) for all A and i. This article discusses some of the mathematical properties of this rule, connecting it with sufficient partitions, and maximum entropy updating of contingency tables. The main results concern simultaneous revision on two partitions.