The genealogy of continuous-state branching processes with immigration

被引:0
|
作者
Amaury Lambert
机构
[1] Laboratoire de Probabilités,
[2] CNRS UMR 7599,undefined
[3] Université Pierre et Marie Curie,undefined
[4] 175,undefined
[5] rue du Chevaleret,undefined
[6] F-75013 Paris,undefined
[7] France. e-mail: lambert@proba.jussieu.fr,undefined
来源
关键词
Recent Work; Time Process; Gall; Markov Process; Local Time;
D O I
暂无
中图分类号
学科分类号
摘要
Recent works by J.F. Le Gall and Y. Le Jan [15] have extended the genealogical structure of Galton-Watson processes to continuous-state branching processes (CB). We are here interested in processes with immigration (CBI).
引用
收藏
页码:42 / 70
页数:28
相关论文
共 50 条
  • [31] CONSTRUCTION OF CONTINUOUS-STATE BRANCHING PROCESSES IN VARYING ENVIRONMENTS
    Fang, Rongjuan
    Li, Zenghu
    ANNALS OF APPLIED PROBABILITY, 2022, 32 (05): : 3645 - 3673
  • [32] Continuous-State Branching Processes in Levy Random Environments
    He, Hui
    Li, Zenghu
    Xu, Wei
    JOURNAL OF THEORETICAL PROBABILITY, 2018, 31 (04) : 1952 - 1974
  • [33] CONTINUOUS-STATE BRANCHING PROCESSES AND SELF-SIMILARITY
    Kyprianou, A. E.
    Pardo, J. C.
    JOURNAL OF APPLIED PROBABILITY, 2008, 45 (04) : 1140 - 1160
  • [34] Extinguishing behaviors for continuous-state nonlinear branching processes
    Li, Junping
    Tang, Yingchun
    Zhou, Xiaowen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (02)
  • [35] CONTINUOUS-STATE BRANCHING PROCESSES WITH SPECTRALLY POSITIVE MIGRATION
    Vidmar, Matija
    PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2022, 42 (02): : 227 - 249
  • [36] Extinction times of multitype continuous-state branching processes
    Chaumont, Loic
    Marolleau, Marine
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2023, 59 (02): : 563 - 577
  • [37] ASYMPTOTIC BEHAVIOR OF PROJECTIONS OF SUPERCRITICAL MULTI-TYPE CONTINUOUS-STATE AND CONTINUOUS-TIME BRANCHING PROCESSES WITH IMMIGRATION
    Barczy, Matyas
    Palau, Sandra
    Pap, Gyula
    ADVANCES IN APPLIED PROBABILITY, 2021, 53 (04) : 1023 - 1060
  • [38] ASYMPTOTIC BEHAVIOUR NEAR EXTINCTION OF CONTINUOUS-STATE BRANCHING PROCESSES
    Berzunza, Gabriel
    Carlos Pardo, Juan
    JOURNAL OF APPLIED PROBABILITY, 2016, 53 (02) : 381 - 391
  • [39] Continuous-state branching processes, extremal processes and super-individuals
    Foucart, Clement
    Ma, Chunhua
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2019, 55 (02): : 1061 - 1086
  • [40] Proof(s) of the Lamperti representation of continuous-state branching processes
    Emilia Caballero, Ma.
    Lambert, Amaury
    Uribe Bravo, Geronimo
    PROBABILITY SURVEYS, 2009, 6 : 62 - 89