Galton-Watson theta-processes in a varying environment
Probability
2024-01-17 v1
Abstract
We consider a special class of Galton-Watson theta-processes in a varying environment fully defined by four parameters, with two of them being fixed over time , and the other two characterizing the altering reproduction laws. We establish a sequence of transparent limit theorems for the theta-processes with possibly defective reproduction laws. These results may serve as a stepping stone towards incisive general results for the Galton-Watson processes in a varying environment.
Cite
@article{arxiv.2401.07860,
title = {Galton-Watson theta-processes in a varying environment},
author = {Serik Sagitov and Yerakhmet Zhumayev},
journal= {arXiv preprint arXiv:2401.07860},
year = {2024}
}