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arXiv · 2210.12313

A criterion and a Cram\'er-Wold device for quasi-infinite divisibility for discrete multivariate probability laws

I. A. Alexeev·A. A. Khartov
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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 $\mathbb{Z}^d$. The Cram\'er-Wold devices for infinite and quasi-infinite divisibility were proved.

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I. A. Alexeev, A. A. Khartov. 2022-10-22. A criterion and a Cram\'er-Wold device for quasi-infinite divisibility for discrete multivariate probability laws. https://arxiv.org/abs/2210.12313

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