A criterion and a Cram\'er-Wold device for quasi-infinite divisibility for discrete multivariate probability laws
Probability
2023-03-08 v2
Abstract
Multivariate discrete probability laws are considered. We show that such laws are quasi-infinitely divisible if and only if their characteristic functions are separated from zero. We generalize the existing results for the univariate discrete laws and for the multivariate laws on . The Cram\'er-Wold devices for infinite and quasi-infinite divisibility were proved.
Keywords
Cite
@article{arxiv.2210.12313,
title = {A criterion and a Cram\'er-Wold device for quasi-infinite divisibility for discrete multivariate probability laws},
author = {I. A. Alexeev and A. A. Khartov},
journal= {arXiv preprint arXiv:2210.12313},
year = {2023}
}