Contraction and decoupling inequalities for multilinear forms and u-statistics

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.

Cited by in corpus (2)

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• Decoupling Inequalities for the Tail Probabilities of Multivariate U-statistics