Berry-Esseen type estimates for nonconventional sums

preprint2015arXivOpen access

Abstract

We obtain Berry-Esseen type estimates for "nonconventional" expressions of the form ξN=1N∑n=1N(F(X(q1(n)),...,X(qℓ(n)))−Fˉ)ξ_N=\frac 1{\sqrt N}\sum_{n=1}^N(F(X(q_1(n)),...,X(q_\ell(n)))-\bar F)

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