Limit Theorems for a Supercritical Branching Process with Immigration at Zero in a Random Environment

被引：0
|
作者：
Zhao, Yinxuan [1 ,2 ]
Li, Doudou [3 ]
Zhang, Mei [1 ,2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Beijing Normal Univ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
[3] Beijing Univ Technol, Coll Stat & Data Sci, Fac Sci, Beijing 100124, Peoples R China
来源：
MARKOV PROCESSES AND RELATED FIELDS | 2023年 / 29卷 / 05期
基金：
中国国家自然科学基金;
关键词：
branching process; immigration; random environment; state dependent; supercritical; linear fractional;
D O I：
10.61102/1024-2953-mprf.2023.29.5.003
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let Z be a supercritical branching process with immigration at zero in a random environment, where the immigration is allowed entering a generation iff the previous generation is empty. The limit theorems for the naturally normalized population size Wn shall be investigated, under both the annealed law and quenched law. In addition, in the linear fractional case, the harmonic moments of W and the convergence rate of the transition probabilities p(n) l,j of Z are studied.
引用
收藏
页数：110
相关论文
共 50 条
  • [1] Limit theorems for a supercritical branching process with immigration in a random environment
    WANG YanQing
    LIU QuanSheng
    [J]. Science China Mathematics, 2017, 60 (12) : 2481 - 2502
  • [2] Limit theorems for a supercritical branching process with immigration in a random environment
    YanQing Wang
    QuanSheng Liu
    [J]. Science China Mathematics, 2017, 60 : 2481 - 2502
  • [3] Limit theorems for a supercritical branching process with immigration in a random environment
    Wang, YanQing
    Liu, QuanSheng
    [J]. SCIENCE CHINA-MATHEMATICS, 2017, 60 (12) : 2481 - 2502
  • [4] Precise Asymptotics in Limit Theorems for a Supercritical Branching Process with Immigration in a Random Environment
    Chun Mao HUANG
    Rui ZHANG
    Zhi Qiang GAO
    [J]. ActaMathematicaSinica,EnglishSeries., 2024, (08) - 1874
  • [5] Precise Asymptotics in Limit Theorems for a Supercritical Branching Process with Immigration in a Random Environment
    Huang, Chun Mao
    Zhang, Rui
    Gao, Zhi Qiang
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (08) : 1850 - 1874
  • [6] Central limit theorems for a supercritical branching process in a random environment
    Wang, Hesong
    Gao, Zhiqiang
    Liu, Quansheng
    [J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (05) : 539 - 547
  • [7] Limit theorems for branching processes with immigration in a random environment
    Basrak, Bojan
    Kevei, Peter
    [J]. EXTREMES, 2022, 25 (04) : 623 - 654
  • [8] Limit theorems for branching processes with immigration in a random environment
    Bojan Basrak
    Péter Kevei
    [J]. Extremes, 2022, 25 : 623 - 654
  • [9] Limit theorems for supercritical branching processes in random environment
    Buraczewski, Dariusz
    Damek, E. W. A.
    [J]. BERNOULLI, 2022, 28 (03) : 1602 - 1624
  • [10] Integro-local limit theorems for supercritical branching process in a random environment
    Struleva, M. A.
    Prokopenko, E. I.
    [J]. STATISTICS & PROBABILITY LETTERS, 2022, 181
12345