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On pitman nearness and variance of estimators
Authors:Shyamal Das Peddada  Ravindra Khattree
Affiliation:1. Department of Mathematics , Central Michigan University , Mount Pleasant, MI, 48859;2. Department of Statistics Mathematical Sciences Division , North Dakota State University , Fargo, ND, 58105
Abstract:In this article, some conditions on variances are presented under which the (Generalized) Pitman Nearness Criterion Would Prefer one estimator over another. Results for univariate as well as multivariate cases are derived. An exact expression for a result of Rao, Keating and Mason (1985) is provided.
Keywords:generalized Pitman  nearness  rectangular symmetry  estimators  mean squared error (MSE)  F–distribution
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