科研之友
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摘要
Let be a measurable space, a sub--field and a random probability measure on , . In various frameworks, one looks for a probability P on such that is a regular conditional distribution for P given for all n. Conditions for such a P to exist are given. The conditions are quite simple when is a compact Hausdorff space equipped with the Borel or the Baire -field (as well as under similar assumptions). Applications to Gibbs measures and Bayesian statistics are given as well.
- 出版日期2013-6-1
