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Admissibility in Linear Estimation

Lynn Roy LaMotte

The Annals of Statistics · 1982 · Volume 10 · Issue 1

DOI: 10.1214/aos/1176345707

Abstract

Necessary and sufficient conditions for a linear estimator to be admissible among linear estimators are described. The model assumed is general, allowing for relations between elements of the mean vector and covariance matrix, and allowing the covariance matrix to vary in an arbitrary subset of nonnegative definite symmetric matrices.

Keywords

62F10, 62J99, General linear model, linear estimation and admissibility

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