Large deviations for a Poisson random indexed branching process

Gao Zhenlong; Wang Weigang

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Large deviations for a Poisson random indexed branching process

机译：泊松随机索引分支过程的大偏差

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摘要

Consider a Galton-Watson process {Z(n)} and an independent Poisson process {N-t}, the continuous time process {Z(Nt)} is a Poisson random indexed branching process. We show the large deviation results for P(Z(Nt) <= e(ct)) and P(Z(Nt) >= e(ct)). (C) 2015 Elsevier B.V. All rights reserved.

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《Statistics & Probability Letters》 |2015年第null期|共6页
作者
Gao Zhenlong; Wang Weigang;
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原文格式 PDF
正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
Large deviation principle; Random indexed branching process; Harmonic moments;

机译：大偏差原理;随机索引分支过程;谐波矩;

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专利

1. Large deviations for a Poisson random indexed branching process [J] . Gao Zhenlong, Wang Weigang Statistics & Probability Letters . 2015,第Null期

机译：泊松随机索引分支过程的大偏差
2. Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process [J] . Zhang Yanhua, Gao Zhenlong Mathematical Problems in Engineering . 2019,第PTa12期

机译：用于泊松过程索引分支过程的跳跃时间的偏差
3. Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process [J] . Yanhua Zhang, Zhenlong Gao Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

机译：用于泊松过程索引分支过程的跳跃时间的偏差
4. Rational Sampling and Standard Deviations for Random Variables in Phase I Application of Statistical Process Control [C] . W P Breytenbach Sampling Conference . 2014

机译：统计过程控制阶段应用中随机变量的Rational采样和标准偏差
5. Large Deviation Results for a Randomly Indexed Branching Process with Applications to Finance and Physics [D] . Wu, Sheng-Jhih 2012

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6. Large Deviations for Random Trees and the Branching of RNA Secondary Structures [O] . Yuri Bakhtin, Christine E. Heitsch -1

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7. Asymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching process [O] . Zhenl ng Gao, Hu li Zhang 2020

机译：Woison随机索引分支过程的Lotka-Nagaev估算器的渐近分布和Berry-esseen不等式

Large deviations for a Poisson random indexed branching process

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