The multiple birth properties of multi-type Markov branching processes

Autor: Li, Junping, Zhang, Wanting
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $t$ is obtained by using the new process. Furthermore, the probability distribution of multiple birth until the extinction of the process is also given.
Databáze: arXiv