Abstract <p>We prove that a nonnegative integer-valued infinitely divisible random variable is infinitely divisible in the class of nonnegative integer-valued random variables if and only if it’s distribution has an atom at zero.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

On the Inifite Divisibility of Nonnegative Integer-Valued Random Variables

  • I. G. Shevtsova

摘要

Abstract

We prove that a nonnegative integer-valued infinitely divisible random variable is infinitely divisible in the class of nonnegative integer-valued random variables if and only if it’s distribution has an atom at zero.