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Статья

Berry–Esseen bounds for typical weighted sums

Electronic Journal of Probability. 2018. No. 23. P. 1-22.
Bobkov S., Chistyakov G., Goetze F.

Under correlation-type conditions, we derive upper bounds of order 1/\sqrt{n} for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law.