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Communications in Statistics - Theory and Methods Volume 42, 2013 - Issue 2
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Original Articles

Several Kantorovich Inequalities Involving Tracy-Singh Product

Litong Wang Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, ChinaCorrespondence[email protected]
Pages 194-200 | Received 03 Sep 2010, Accepted 25 Mar 2011, Published online: 14 Dec 2012
 
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Abstract

The Tracy-Singh product, which can be viewed as generalized Kronecher product, is studied and used widely in matrix theory and statistics. Therefore, some well-known Kantorovich inequalities are generalized to Tracy-Singh product in this article. Furthermore, some applications to statistics are presented.

Mathematics Subject Classification:

Acknowledgments

The author would like to thank anonymous referees for their insightful suggestions and comments that led to improvement in the article. This work is partly supported by the National Natural Science Foundation of China (11126211) and Zhejiang Provincial Natural Science Foundation (LQ12A01021).

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