Contraction and decoupling inequalities for multilinear forms and u-statistics
概率论
2008-02-03 v2 泛函分析
统计理论
统计理论
摘要
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.
引用
@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}
}