Bounds on the tail probability of U-statistics and quadratic forms

Abstract

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.

5 pages. Abstract added in migration.

Cited by in corpus (2)

• Transference Principles for Log-Sobolev and Spectral-Gap with Applications to Conservative Spin Systems
• Decoupling Inequalities for the Tail Probabilities of Multivariate U-statistics