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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.
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).