随机环境中的弱超临界分支过程在遥远时刻消亡

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Theory of Probability and its Applications Pub Date : 2024-02-07 DOI:10.1137/s0040585x97t991611

V. I. Afanasyev

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引用次数: 0

摘要

概率论及其应用》（Theory of Probability &Its Applications），第 68 卷第 4 期，第 537-558 页，2024 年 2 月。证明了在随机环境中弱超临界分支过程在时间 $n\to \infty $ 之后灭绝的条件下的函数极限定理。

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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Weakly Supercritical Branching Process in a Random Environment Dying at a Distant Moment

Theory of Probability &Its Applications, Volume 68, Issue 4, Page 537-558, February 2024.
A functional limit theorem is proved for a weakly supercritical branching process in a random environment under the condition that the process becomes extinct after time $n\to \infty $.

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来源期刊

Theory of Probability and its Applications 数学-统计学与概率论

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

6 months

期刊介绍： Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.