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Minimax Estimation of a Mean Vector for Distributions on a Compact Set

Richard Dykstra

ASTIN Bulletin, 1990, vol. 20, issue 2, 173-179

Abstract: Minimax estimation procedures for the mean vector of a distribution on a compact set under squared error type loss functions are considered. In particular, a Dirichlet process prior is used to show that a linear function of is a minimax estimator in the class of all measurable estimators and all possible distributions. This effort extends some earlier work of Bühlmann to a more general setting.

Date: 1990
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