Acta Mathematica Scientia

, Volume 39, Issue 3, pp 781–796 | Cite as

Moments of Continuous-State Branching Processes in Lévy Random Environments

  • Lina JiEmail author
  • Xiangqi ZhengEmail author


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 

2010 MR Subject Classification

60J80 60K37 60H20 60G51 


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Heartfelt thanks are given to Professor Zenghu Li for his careful guidance and helpful suggestions.


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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.School of Mathematical SciencesBeijing Normal UniversityBeijingChina

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