Matrix Euclidean norm Wielandt inequalities and their applications to statistics |
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Authors: | Litong Wang Hu Yang |
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Institution: | 1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China 2. College of Mathematics and Statistics, Chongqing University, Chongqing, China
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Abstract: | In this paper we shall establish a new matrix inequality which will fill the gap that there has not been any matrix Euclidean norm version of the Wielandt inequality in the literature yet. This inequality can be used to present an upper bound of a new measure of association which plays a very important role in statistics, especially in multivariate analysis. A new alternative based on Euclidean norm for relative gain of the covariance adjusted estimator of parameters is provided. |
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