7 citations · 9 across the 4 of their papers we have counts for
4 papers
A criterion and a Cramér-Wold device for quasi-infinite divisibility for discrete multivariate probability laws
I. A. Alexeev, A. A. Khartov
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.…
On weak convergence of quasi-infinitely divisible laws
A. A. Khartov
We study a new class of so-called quasi-infinitely divisible laws, which is a wide natural extension of the well known class of infinitely divisible laws through the Lévy--Khinchin…
A criterion of quasi-infinite divisibility for discrete laws
A. A. Khartov
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 natura…
Spectral representations of characteristic functions of discrete probability laws
I. A. Alexeev, A. A. Khartov
We consider discrete probability laws on the real line, whose characteristic functions are separated from zero. In particular, this class includes arbitrary discrete infinitely div…