English

Comments on the infinitely divisibility of the Conway--Maxwell--Poisson distribution

Probability 2023-04-06 v1

Abstract

In an elegant recent paper \cite{geng2022conway}, Geng and Xia settled the question of the infinite divisibility of the Conway--Maxwell--Poisson distribution, using in large part several results from complex analysis. In this note we show how these complex analytic methods can be circumvented, thereby giving a proof of their result which is completely elementary.

Keywords

Cite

@article{arxiv.2304.02624,
  title  = {Comments on the infinitely divisibility of the Conway--Maxwell--Poisson distribution},
  author = {Greg Markowsky and Preet Patel},
  journal= {arXiv preprint arXiv:2304.02624},
  year   = {2023}
}