中文

随机环境中超临界分支过程增长率尾函数的上界

概率论 2021-03-02 v4

摘要

(Zn)n0(Z_n)_{n\geq0} 是独立同分布随机环境中的超临界分支过程。本文研究 (Zn)n0(Z_n)_{n\geq0} 的标度化增长率的右尾函数。通过应用 Hoeffding 型不等式的一个推广,得到了对任意 x3x\geq3P[logZnMnμx]\mathbb{P}\left[\frac{\log Z_n}{Mn}-\mu\geq x\right] 的上界。

关键词

引用

@article{arxiv.1912.11790,
  title  = {Upper bound for the tail functions of the growth rate for supercritical branching processes in random environment},
  author = {Yinna Ye},
  journal= {arXiv preprint arXiv:1912.11790},
  year   = {2021}
}

备注

Some typos are spotted out and some errors are found in the proof of the results in the first version. This is the updated version