Discrete Analogues of Self-Decomposability and Stability

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Authors

Abstract

Analogues are proposed for the concepts of self-decomposability and stability for distributions on the nonnegative integers. It turns out that these "discrete self-decomposable" and "discrete stable" distributions have properties that are quite similar to those of their continuous counterparts.

Topics & Keywords

Mathematical Control Systems and Analysis Cybersecurity and Information Systems

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: The Annals of Probability

Volume 7, Issue 5

DOI: 10.1214/aop/1176994950

Field-Weighted Citation Impact: 12.38