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On Some Matrix Versions of Covariance, Harmonic Mean and Other Inequalities: An Overview

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Applied Linear Algebra, Probability and Statistics

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Abstract

We present some matrix versions of covariance, harmonic mean and other inequalities for positive definite random matrices and present some open problems.

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Acknowledgements

This work was supported under the scheme “INSA Honorary scientist” at the CR Rao Advanced Institute of Mathematics, Statistics and Computer Science, Hyderabad, India.

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Correspondence to B. L. S. Prakasa Rao .

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Prakasa Rao, B.L.S. (2023). On Some Matrix Versions of Covariance, Harmonic Mean and Other Inequalities: An Overview. In: Bapat, R.B., Karantha, M.P., Kirkland, S.J., Neogy, S.K., Pati, S., Puntanen, S. (eds) Applied Linear Algebra, Probability and Statistics. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-99-2310-6_1

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