Stein's method for nonconventional sums
classification
🧮 math.PR
keywords
sumsalmostcentralconvergenceformfrac12limitmethod
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We obtain almost optimal convergence rate in the central limit theorem for "nonconevntional" sums of the form $S_N=N^{-\frac12}\sum_{n=1}^N (F(\xi_n,\xi_{2n},...,\xi_{\ell n})-\bar F)$.
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