3 papers
math.PR2025
Denseness in total variation and the class of rational-infinitely divisible distributions
Alexey Khartov
We study a new class of so-called rational-infinitely (or quasi-infinitely) divisible probability laws on the real line. The characteristic functions of these distributions are rat…
math.PR2025
On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts
Alexey Khartov
We consider the new class of rational-infinitely (or quasi-infinitely) divisible distribution functions on the real line. By definition, if t…
math.PR2024
Some criteria of rational-infinite divisibility for probability laws
A. A. Khartov
We study the class of distribution functions that have the property of rational-infinite divisibility: there exist some infinitely divisible distribution funct…