Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (3): 781-796.doi: 10.1007/s10473-019-0310-7

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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).

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

CLC Number: 

  • 60J80
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