非均匀迁移的均匀分支过程

Q3 Mathematics

Stochastics and Quality Control Pub Date : 2021-12-01 DOI:10.1515/eqc-2021-0033

I. Rahimov

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引用次数: 4

摘要

平稳迁移对潜在分支过程的渐近行为影响有限。它主要影响过程的极限分布和生命周期。相反，如果移民率随时间变化，则该过程的渐近行为显着不同，并观察到各种新现象。本文讨论了具有时间非均匀迁移的分支过程。我们的目标是帮助对该主题感兴趣的研究人员熟悉研究的现状。

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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Homogeneous Branching Processes with Non-Homogeneous Immigration

Abstract The stationary immigration has a limited effect over the asymptotic behavior of the underlying branching process. It affects mostly the limiting distribution and the life-period of the process. In contrast, if the immigration rate changes over time, then the asymptotic behavior of the process is significantly different and a variety of new phenomena are observed. In this review we discuss branching processes with time non-homogeneous immigration. Our goal is to help researchers interested in the topic to familiarize themselves with the current state of research.

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来源期刊

Stochastics and Quality Control Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.10

自引率

0.00%

发文量