V. H. de la Peña

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19932026

most citedCharacterizations of joint distributions, copulas, information, dependence and decoupling, with applications to time series

53 citations · 65 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.FA1993★ 5 cited

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

Victor H. de la Peña, Stephen J. Montgomery-Smith

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.

math.FA1993★ 1 cited

Decoupling Inequalities for the Tail Probabilities of Multivariate U-statistics

Victor H. de la Peña, Stephen J. Montgomery-Smith

In this paper the following result, which allows one to decouple U-Statistics in tail probability, is proved in full generality. Theorem 1. Let $X_{i}$ be a sequence of independent r…