Transformation of the discrete stable process via branching reproduction environment
Probability
2025-04-01 v1
Abstract
The current paper focuses on studying the impact of immigration with an infinite mean, driven by a discrete-stable compound Poisson process, when it is entering the branching environment with infinite variance of reproduction. Our goal is to determine the explicit form of the probability generating function and subsequently to analyze the probability of extinction, aiming to understand the long-term behavior of such processes.
Keywords
Cite
@article{arxiv.2503.23180,
title = {Transformation of the discrete stable process via branching reproduction environment},
author = {Maroussia Slavtchova-Bojkova and Penka Mayster},
journal= {arXiv preprint arXiv:2503.23180},
year = {2025}
}
Comments
10 pages