English

The Poisson binomial distribution -- Old & New

Probability 2019-08-28 v1 Other Statistics

Abstract

This is an expository article on the Poisson binomial distribution. We review lesser known results and recent progress on this topic, including geometry of polynomials and distribution learning. We also provide examples to illustrate the use of the Poisson binomial machinery. Some open questions of approximating rational fractions of the Poisson binomial are presented.

Keywords

Cite

@article{arxiv.1908.10024,
  title  = {The Poisson binomial distribution -- Old & New},
  author = {Wenpin Tang and Fengmin Tang},
  journal= {arXiv preprint arXiv:1908.10024},
  year   = {2019}
}

Comments

21 pages, 3 figures

R2 v1 2026-06-23T10:57:36.492Z