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Journal Article
Sharp inequalities involving multiplicative chaos sums
2024
Overview
The present note is an addition to the author’s recent paper [44], concerning general multiplicative systems of random variables. Using some lemmas and the methodology of [13], we obtain a general extremal inequality, with corollaries involving Rademacher chaos sums and those analogues for multiplicative systems. In particular we prove that a system of functions generated by bounded products of a multiplicative system is a convergence system.
Publisher
Springer International Publishing,Springer Nature B.V
Subject
