On the Inifite Divisibility of Nonnegative Integer-Valued Random Variables

Author:

26 July 2026

journal article
Published by Allerton Press in Moscow University Computational Mathematics and Cybernetics

Vol. 50 (S1) , S73-S76
DOI:10.3103/s027864192670024x

Abstract

We prove that a nonnegative integer-valued infinitely divisible random variable is infinitely divisible in the class of nonnegative integer-valued random v

Keywords

NONNEGATIVE INTEGER-VALUED
INIFITE DIVISIBILITY
INTEGER-VALUED RANDOM
RANDOM VARIABLES
RANDOM VARIABLE
INFINITELY DIVISIBLE
DIVISIBLE RANDOM
INTEGER-VALUED INFINITELY
NONNEGATIVE
RANDOM

This publication has 2 references indexed in Scilit:

Infinite Divisibility of Probability Distributions on the Real Line
2003
Infinite Divisibility of Integer-Valued Random Variables
The Annals of Mathematical Statistics, 1967