The multiple birth properties of multi-type Markov branching processes
Probability
2024-07-09 v1
Abstract
The main purpose of this paper is to consider the multiple birth properties for multi-type Markov branching processes. We first construct a new multi-dimensional Markov process based on the multi-type Markov branching process, which can reveal the multiple birth characteristics. Then the joint probability distribution of multiple birth of multi-type Markov branching process until any time is obtained by using the new process. Furthermore, the probability distribution of multiple birth until the extinction of the process is also given.
Cite
@article{arxiv.2407.05252,
title = {The multiple birth properties of multi-type Markov branching processes},
author = {Junping Li and Wanting Zhang},
journal= {arXiv preprint arXiv:2407.05252},
year = {2024}
}