On a class of covariance operators.

Chantladze, T.; Kandelaki, N.

Displaying similar documents to “On a class of covariance operators.”

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Sample behavior and laws of large numbers for Gaussian random elements.

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Insensitivity to negative dependence of the asymptotic behavior of precise large deviations.

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The 123 theorem of Probability Theory and Copositive Matrices

Alexander Kovačec, Miguel M. R. Moreira, David P. Martins (2014)

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Alon and Yuster give for independent identically distributed real or vector valued random variables X, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derive these using copositive matrices instead. By the same method we also give estimates for the real valued case, involving X + Y and X − Y, due to Siegmund-Schultze and von Weizsäcker as generalized by Dong, Li and Li. Furthermore, we formulate a version of the above inequalities as an integral...