Stein's method for nonconventional sums

2017/04/04 by Hafouta, Yeor
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1704.01094

Abstract

We obtain almost optimal convergence rate in the central limit theorem for "nonconevntional" sums of the form S_N=N^-\frac12∑_n=1^N (F(ξ_n,ξ_2n,...,ξ_{ℓ n})- F).

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