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Bounds on the tail probability of U-statistics and quadratic forms

Victor H. de la Peña·Stephen J. Montgomery-Smith
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Abstract

The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear $k$-correlations of $n>k$ independent random variables.

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Victor H. de la Peña, Stephen J. Montgomery-Smith. 1993-09-13. Bounds on the tail probability of U-statistics and quadratic forms. https://arxiv.org/abs/math/9309210

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