Contraction and decoupling inequalities for multilinear forms and u-statistics
Probability
2008-02-03 v2 Functional Analysis
Statistics Theory
Statistics Theory
Abstract
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 norms), tail distributions, tightness, hypercontractivity, etc.
Cite
@article{arxiv.math/9406214,
title = {Contraction and decoupling inequalities for multilinear forms and u-statistics},
author = {V. de la Pena and Stephen J. Montgomery-Smith and Jerzy Szulga},
journal= {arXiv preprint arXiv:math/9406214},
year = {2008}
}