English

Berry-Esseen Bounds for typical weighted sums

Probability 2017-09-21 v1

Abstract

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

Keywords

Cite

@article{arxiv.1709.06848,
  title  = {Berry-Esseen Bounds for typical weighted sums},
  author = {Sergey Bobkov and Gennadiy Chistyakov and Friedrich Götze},
  journal= {arXiv preprint arXiv:1709.06848},
  year   = {2017}
}
R2 v1 2026-06-22T21:49:21.669Z