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 Cramér–Wold devices for infinite and quasi-infinite divisibility are proved.
Funding Statement
The work of A. A. Khartov was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement 075-15-2022-289 date 06/04/2022. The work of I. A. Alexeev was supported in part by the Möbius Contest Foundation for Young Scientists.
Citation
Ivan Alexeev. Alexey Khartov. "A criterion and a Cramér–Wold device for quasi-infinite divisibility for discrete multivariate probability laws." Electron. J. Probab. 28 1 - 17, 2023. https://doi.org/10.1214/23-EJP1032
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