A criterion of quasi-infinite divisibility for discrete laws

2021/12/06 by Khartov, A. A. · 2 citations
#60E05 #60E07 #60E10 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2112.03236

Abstract

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 natural extension of the class of well known infinitely divisible laws through the Lévy type representations.

Cited by

• Denseness in total variation and the class of rational-infinitely divisible distributions
• On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts

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