Law of large numbers for supercritical superprocesses with non-local branching

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:130

Article

Palau, Sandra¹  Yang, Ting^2,3 

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Stat & Probabil, Mexico City, DF, Mexico

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[3] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China

关键词: Law of large numbers;    L-P-convergence;    Non-local branching mechanism;    Superprocess;   

DOI  :  10.1016/j.spa.2019.04.007

来源: Elsevier

【 摘 要 】

In this paper we establish a weak and a strong law of large numbers for supercritical superprocesses with general non-local branching mechanisms. Our results complement earlier results obtained for superprocesses with only local branching. Several interesting examples are developed, including multitype continuous-state branching processes, multitype superdiffusions and superprocesses with discontinuous spatial motions and non-decomposable branching mechanisms. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free