具有迁移的马尔可夫分支过程的多生性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-09-25 DOI:10.1007/s10255-026-0133-y

Yan-yun Li, Jun-ping Li

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引用次数: 0

摘要

本文研究了具有迁移的马尔可夫分支过程的多生性质。通过构造一个新的q -过程，得到了具有迁移时间为t的马尔可夫分支过程的多生育数联合概率生成函数。特别地，对于马尔可夫分支过程，得到了多生育数的概率生成函数，直至其消失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Multi-birth Property of Markov Branching Processes with Immigration

In this paper, we consider the multi-birth property of Markov branching processes with immigration. The joint probability generating function of multi-birth numbers for Markov branching processes with immigration until time t is obtained by constructing a new Q-process. In particular, the probability generating function of multi-birth number is also obtained for Markov branching processes until its extinction.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.