The Kummer distribution in free probability, and its characterizations
Operator Algebras
2024-06-21 v1
Abstract
We study the analogue of Kummer distribution in free probability. We prove characterization of free-Kummer and free Poisson distributions by freeness properties together with some assumptions about conditional moments. Our main tools are subordination of free multiplicative convolution and Boolean cumulants.
Cite
@article{arxiv.2406.13475,
title = {The Kummer distribution in free probability, and its characterizations},
author = {Marcin Świeca},
journal= {arXiv preprint arXiv:2406.13475},
year = {2024}
}