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Bernstein–von Mises theorem : ウィキペディア英語版 | Bernstein–von Mises theorem
In Bayesian inference, the Bernstein–von Mises theorem provides the basis for the important result that the posterior distribution for unknown quantities in any problem is effectively independent of the prior distribution (assuming it obeys Cromwell's rule) once the amount of information supplied by a sample of data is large enough. ==History== The theorem is named after Richard von Mises and S. N. Bernstein even though the first proper proof was given by Joseph L. Doob in 1949 for random variables with finite probability space. Later Lucien Le Cam, his PhD student Lorraine Schwartz, David A. Freedman and Persi Diaconis extended the proof under more general assumptions.
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