English

An improved multivariate version of Kolmogorov's second uniform limit theorem

Probability 2022-08-04 v2

Abstract

The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by infinitely divisible laws may be transferred to the estimation of the closeness of distributions on convex polyhedra.

Keywords

Cite

@article{arxiv.1912.13296,
  title  = {An improved multivariate version of Kolmogorov's second uniform limit theorem},
  author = {Friedrich Götze and Andrei Yu. Zaitsev and Dmitry Zaporozhets},
  journal= {arXiv preprint arXiv:1912.13296},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-23T12:59:44.831Z