English

On the rate of Poisson approximation to partial sum processes

Probability 2022-07-20 v1

Abstract

We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal distance in probability.

Keywords

Cite

@article{arxiv.1907.09022,
  title  = {On the rate of Poisson approximation to partial sum processes},
  author = {Pavel S. Ruzankin and Igor S. Borisov},
  journal= {arXiv preprint arXiv:1907.09022},
  year   = {2022}
}
R2 v1 2026-06-23T10:26:30.041Z