English

A criterion of quasi-infinite divisibility for discrete laws

Probability 2021-12-07 v1

Abstract

We consider arbitrary discrete probability laws on the real line. We obtain a criterion of their belonging to a new class of quasi-infinitely divisible laws, which is a wide natural extension of the class of well known infinitely divisible laws through the L\'evy type representations.

Keywords

Cite

@article{arxiv.2112.03236,
  title  = {A criterion of quasi-infinite divisibility for discrete laws},
  author = {A. A. Khartov},
  journal= {arXiv preprint arXiv:2112.03236},
  year   = {2021}
}