English

Improving approximation error bounds via truncation

Probability 2017-05-02 v1

Abstract

One aspect of Poisson approximation is that the support of the random variable of interest is often finite while the support of the Poisson distribution is not. In this paper we will remedy this by examining truncated negative binomial (of which Poisson is a special limiting case) approximation, so as to match the two supports of both distributions, and show that this will lead to improvements in the error bounds of the approximation.

Keywords

Cite

@article{arxiv.1705.00060,
  title  = {Improving approximation error bounds via truncation},
  author = {H. L. Gan},
  journal= {arXiv preprint arXiv:1705.00060},
  year   = {2017}
}

Comments

6 pages

R2 v1 2026-06-22T19:31:29.457Z