数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (3): 781-796.doi: 10.1007/s10473-019-0310-7

• 论文 • 上一篇    下一篇

MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

季丽娜, 郑祥祺   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2018-05-05 修回日期:2018-10-29 出版日期:2019-06-25 发布日期:2019-06-27
  • 作者简介:Lina JI,E-mail:jilina@mail.bnu.edu.cn;Xiangqi ZHENGE-mail:zhengxq@mail.bnu.edu.cn
  • 基金资助:
    The authors are supported by the National Natural Science Foundation of China (11531001).

MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

Lina JI, Xiangqi ZHENG   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • Received:2018-05-05 Revised:2018-10-29 Online:2019-06-25 Published:2019-06-27
  • Supported by:
    The authors are supported by the National Natural Science Foundation of China (11531001).

摘要: For continuous-state branching processes in Lévy random environments, the recursion of n-moments and the equivalent condition for the existence of general f-moments are established, where f is a positive continuous function satisfying some standard conditions.

关键词: Branching processes, continuous-state, moments, random environment, stochastic equations

Abstract: For continuous-state branching processes in Lévy random environments, the recursion of n-moments and the equivalent condition for the existence of general f-moments are established, where f is a positive continuous function satisfying some standard conditions.

Key words: Branching processes, continuous-state, moments, random environment, stochastic equations

中图分类号: 

  • 60J80