The multiple birth properties of multi-type Markov branching processes

Junping Li; Wanting Zhang

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arXiv · 2407.05252

The multiple birth properties of multi-type Markov branching processes

Junping Li·Wanting Zhang

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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 $t$ is obtained by using the new process. Furthermore, the probability distribution of multiple birth until the extinction of the process is also given.

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Junping Li, Wanting Zhang. 2024-07-07. The multiple birth properties of multi-type Markov branching processes. https://arxiv.org/abs/2407.05252

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