具有迁移的随机索引分支过程的大偏差

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-09-03 DOI:10.1016/j.spl.2025.110546

Zhenlong Gao

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引用次数: 0

摘要

考虑一个具有迁移的称为随机索引分支过程的超临界连续时间分支过程。对于这些过程的对数，建立了大偏差的结果。我们的研究结果表明，当子代分布属于Schröder情况时，移民分布影响较大偏差的速率函数，而当子代分布属于Böttcher情况时，移民分布对速率函数没有影响。

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Large deviations for a randomly indexed branching process with immigration

Consider a supercritical continuous time branching process called randomly indexed branching processes with immigration. Large deviation results are established for the logarithms of such processes. Our results show that when the offspring distribution belongs to the Schröder case, the immigration distribution affects the rate function of the large deviation, while when the offspring distribution belongs to the Böttcher case, the immigration distribution has no effect on the rate function.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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