Comparisons of Efficiency of the AUGR Estimator with That of the GR Estimator and the OLS Estimator in the Sense of Mean Squared Error
Bin Liu
Abstract
Bin Liu
Abstract
Comparisons are made between the almost unbiased generalized ridge(AUGR) estimator and the generalized ridge(GR) estimator and between the AUGR estimator and the Ordinary least squared(OLS) estimator in the sense of their mean squared errors(MSE).Some sufficient conditions are given,under which AUGR estimator is better than the GR estimator and AUGR estimator is better than the OLS estimator.
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Comparisons are made between the almost unbiased generalized ridge(AUGR) estimator and the generalized ridge(GR) estimator and between the AUGR estimator and the Ordinary least squared(OLS) estimator in the sense of their mean squared errors(MSE).Some sufficient conditions are given,under which AUGR estimator is better than the GR estimator and AUGR estimator is better than the OLS estimator.
Key concepts: Minimum-variance unbiased estimator, Mean squared error, Bias of an estimator, Efficient estimator, Mathematics, Estimator, Stein's unbiased risk estimate, Invariant estimator