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Some Matrix Norm Kantorovich Inequalities and Their Applications
Authors:Hu Yang
Affiliation:College of Mathematics and Statistics , Chongqing University , Chongqing , China
Abstract:In this article, we first present four matrix norm Kantorovich-type inequalities involving non negative definite matrix. Then, based on these inequalities, we propose four new efficiency criteria and present their lower bounds to make efficiency comparisons between the ordinary least squares estimator and the best linear unbiased estimator in a singular linear model.
Keywords:Best linear unbiased estimator  Kantorovich inequality  Matrix norm inequalities  Ordinary least squares estimator
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