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Minimum Message Length Shrinkage Estimation

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Monash University Figshare2026-02-11 更新2026-07-07 收录
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This note considers estimation of the mean of a multivariate Gaussian distribution with known variance within the Minimum Message Length (MML) framework. Interestingly, the resulting MML estimator exactly coincides with the positive-part James-Stein estimator under the choice of an uninformative prior. A new approach for estimating parameters and hyperparameters in general hierarchical Bayes models is also presented.

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2022-07-25
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