Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails

Abstract

We derive two-sided estimates for random multilinear forms (random chaoses) generated by independent symmetric random variables with logarithmically concave tails. Estimates are exact up to multiplicative constants depending only on the order of chaos.

8 pages

Cited by in corpus (3)

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• Concentration inequalities for polynomials in $\alpha$-sub-exponential random variables
• Two-sided moment estimates for a class of nonnegative chaoses