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Exact convergence rate in central limit theorem for a supercritical branching process with immigration in a random environment

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成果类型:
期刊论文
作者:
Li, Yingqiu;Tang, Xinping;Wang, Hesong
通讯作者:
Li, YQ
作者机构:
[Li, Yingqiu; Wang, Hesong; Tang, Xinping] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Hunan, Peoples R China.
[Li, Yingqiu; Li, YQ] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410004, Hunan, Peoples R China.
通讯机构:
[Li, YQ ] C
Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410004, Hunan, Peoples R China.
语种:
英文
关键词:
Branching processes with immigration;random environment;central limit theorem;exact convergence rate
期刊:
Communications in Statistics - Theory and Methods
ISSN:
0361-0926
年:
2023
基金类别:
National Natural Science Foundation of China [12271062]; Open Fund of Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering [2018MMAEZD02]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
Let {Zn} be a supercritical branching process with immigration in an independent, identically distributed(i.i.d.) environment xi. The Berry-Esseen bound for logZn has been established by Wang et al. (2021). To refine that, under the less restrictive moment conditions, we calculate the exact convergence rate in the central limit t...

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