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Admissible linear estimation in singular linear models
Authors:Thomas Mathew  CR Rao  BK Sinha
Institution:1. Indian Statistical Institute , New Delhi, India;2. Department of Mathematics and Statistics , University of Pittsburgh , Pittsburgh, PA, 15260
Abstract:The admissibility results of Rao (1976), proved in the context of a nonsingular covariance matrix, are exteneded to the situation where the covariance matrix is singular. Admi.s s Lb Le linear estimators in the Gauss-Markoff model are characterized and admis-sibility of the best linear unbiased estimator is investigated.
Keywords:Gauss-Markoff model  “normal” model  best linear unbiased estimator  quadratic loss function
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