Quasi-geometric infinite divisibility
Probability
2021-12-09 v1
Abstract
The object of this paper is to introduce and study the concept of quasi-geometric infinite divisibility for distributions on . These distributions arise as mixing distributions of (discrete) geometric infinitely divisible Poisson mixtures. Several characterizations and closure properties are presented. A connection between quasi-geometric infinite divisibility and log-convex (log-concave) distributions is established. A generalized notion of quasi-infinite divisibility is also discussed.
Cite
@article{arxiv.2112.04105,
title = {Quasi-geometric infinite divisibility},
author = {Nadjib Bouzar},
journal= {arXiv preprint arXiv:2112.04105},
year = {2021}
}