Browsing Department of Mathematics (MU) by Author "De la Peña, Víctor"
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Bounds on the tail probability of ustatistics and quadratic forms
De la Peña, Víctor; MontgomerySmith, Stephen, 1963 (201101)The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of nonlinear kcorrelations of n > k independent random variables. 
Contraction and decoupling inequalities for multilinear forms and ustatistics
De la Peña, Víctor; MontgomerySmith, Stephen, 1963; Szulga, Jerzy (201101)We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ... 
Decoupling inequalities for the tail probabilities of multivariate ustatistics
De la Peña, Víctor; MontgomerySmith, Stephen, 1963 (201101)In this paper we present a decoupling inequality that shows that multivariate Ustatistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ...