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- W1996989002 abstract "Families of minimax estimators are found for the location parameter of a p-variate (p> or = 3) spherically symmetric unimodal(s.s.u.)distribution with respect to general quadratic loss. The estimators of James and Stein, Baranchik, Bock and Strawderman are all considered for this general problem. Specifically, when the loss is general quadratic loss given by L(delta,theta) = (delta - theta)'D(delta - theta) where D is a known pxp positive definite matrix, one main result, for one observation, X, on a multivariate s.s.u. distribution about theta, presents a class of minimax estimators whose risks dominate the risk of X, provided p> or = 3 and trace D > or equal 2dL where dL is the maximum eigenvalue of D. This class is given by Delta a,r(X)=(1-a(r(||X||2)/||X||2))X where 0 or = 4 and co = .96 when p=3." @default.
- W1996989002 created "2016-06-24" @default.
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- W1996989002 date "2006-06-02" @default.
- W1996989002 modified "2023-09-23" @default.
- W1996989002 title "Minimax Estimation of Location Parameters for Spherically Symmetric Unimodal Distributions under Quadratic Loss" @default.
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