Stochastic Equations for Two-type Continuous-state Branching Processes with Immigration

被引:0
|
作者
Ru Gang MA [1 ]
机构
[1] School of Mathematical Sciences,Beijing Normal University
关键词
Continuous-state branching process; immigration; stochastic integral equation; comparison property; strong solution;
D O I
暂无
中图分类号
O211.63 [随机微分方程];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A two-dimensional stochastic integral equation system with jumps is studied. We first prove its unique weak solution is a two-type continuous-state branching process with immigration. Then the comparison property of the solution is established. These results imply the existence and uniqueness of the strong solution of the stochastic equation system.
引用
收藏
页码:287 / 294
页数:8
相关论文
共 50 条
  • [41] CONTINUOUS-STATE BRANCHING PROCESSES WITH SPECTRALLY POSITIVE MIGRATION
    Vidmar, Matija
    [J]. PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2022, 42 (02): : 227 - 249
  • [42] On Two-Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction
    Slavtchova-Bojkova, Maroussia
    [J]. BRANCHING PROCESSES AND THEIR APPLICATIONS, 2016, 219 : 319 - 329
  • [43] Continuous Time Mixed State Branching Processes and Stochastic Equations
    Chen, Shukai
    Li, Zenghu
    [J]. ACTA MATHEMATICA SCIENTIA, 2021, 41 (05) : 1445 - 1473
  • [44] Continuous Time Mixed State Branching Processes and Stochastic Equations
    Shukai Chen
    Zenghu Li
    [J]. Acta Mathematica Scientia, 2021, 41 : 1445 - 1473
  • [45] Stochastic differential equation with jumps for multi-type continuous state and continuous time branching processes with immigration
    Barczy, Matyas
    Li, Zenghu
    Pap, Gyula
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2015, 12 (01): : 129 - 169
  • [46] CONTINUOUS TIME MIXED STATE BRANCHING PROCESSES AND STOCHASTIC EQUATIONS
    陈舒凯
    李增沪
    [J]. Acta Mathematica Scientia, 2021, 41 (05) : 1445 - 1473
  • [47] Extinction times of multitype continuous-state branching processes
    Chaumont, Loic
    Marolleau, Marine
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2023, 59 (02): : 563 - 577
  • [48] Continuous-state branching processes, extremal processes and super-individuals
    Foucart, Clement
    Ma, Chunhua
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2019, 55 (02): : 1061 - 1086
  • [49] ASYMPTOTIC BEHAVIOUR NEAR EXTINCTION OF CONTINUOUS-STATE BRANCHING PROCESSES
    Berzunza, Gabriel
    Carlos Pardo, Juan
    [J]. JOURNAL OF APPLIED PROBABILITY, 2016, 53 (02) : 381 - 391
  • [50] Proof(s) of the Lamperti representation of continuous-state branching processes
    Emilia Caballero, Ma.
    Lambert, Amaury
    Uribe Bravo, Geronimo
    [J]. PROBABILITY SURVEYS, 2009, 6 : 62 - 89