稀疏随机环境下的临界分支过程

IF 0.7 Q3 STATISTICS & PROBABILITY Modern Stochastics-Theory and Applications Pub Date : 2023-06-11 DOI:10.15559/23-vmsta231

D. Buraczewski, Congzao Dong, A. Iksanov, A. Marynych

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摘要

我们引入了稀疏随机环境中的分支过程，作为高尔顿-沃森过程和随机环境中的分支过程的中间模型。在临界情况下，我们研究了生存概率并证明了yaglom型极限定理，即以生存事件为条件的种群规模的极限定理。

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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Critical branching processes in a sparse random environment

We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-type limit theorems, that is, limit theorems for the size of population conditioned on the survival event.

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