Browsing Department of Mathematics (MU) by Author "De la Peña, Víctor"
De la Peña, Víctor; Montgomery-Smith, Stephen, 1963- (2011-01)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.
De la Peña, Víctor; Montgomery-Smith, Stephen, 1963-; Szulga, Jerzy (2011-01)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 ...
De la Peña, Víctor; Montgomery-Smith, Stephen, 1963- (2011-01)In this paper we present a decoupling inequality that shows that multivariate U-statistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ...