Titlebook: Shrinkage Estimation; Dominique Fourdrinier,William E. Strawderman,Marti Book 2018 Springer Nature Switzerland AG 2018 Minimax Estimation.

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Restricted Parameter Spaces, constrained to a set should be constrasted to the shrinkage estimators discussed in Sect.. where one has “vague knowledge” that a location vector is in or near the specified set and consequently wishes to shrink toward the set but does not wish to restrict the estimator to lie in the set. Much of t

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Spherically Symmetric Distributions, Stein-type estimators may hold for more general distributions. Strawderman (.) first explored such an extension and considered estimation of the location parameter for scale mixtures of multivariate normal distributions.

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Restricted Parameter Spaces,ets and more particularly to a striking result of Hartigan (.) which shows that in the normal case, the Bayes estimator of the mean with respect to the uniform prior over any convex set, ., dominates . for all . under the usual quadratic loss ∥. − .∥..

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