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Decision-theoretic estimation of generalized variance and generalized precision
Authors:Nabendu Pal
Affiliation:Department of mathematics and statistics , University of maryland baltimore county , catonsville, Maryland, 21228, U.s.a.
Abstract:Consider a random data matrix X=(X1,...,Xk):pXk with independent columns [sathik] and an independent p X p Wishart matrix [sathik]. Estimators dominating the best affine equivariant estimators of [sathik] are obtained under four types of loss functions. Improved estimators (Testimators) of generalized variance and generalized precision are also considered under convex entropy loss (CEL).
Keywords:Wishart matrix  entropy loss  squared error loss  convex entropy loss  affine equivariant estimator  risk function
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