MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

doi:10.1007/s10473-019-0310-7

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

MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

季丽娜, 郑祥祺

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

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/Abstract

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

季丽娜, 郑祥祺. MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS[J]. 数学物理学报(英文版), 2019, 39(3): 781-796.

Lina JI, Xiangqi ZHENG. MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS[J]. Acta mathematica scientia,Series B, 2019, 39(3): 781-796.

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MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

MOMENTS OF CONTINUOUS-STATE BRANCHING PROCESSES IN LÉVY RANDOM ENVIRONMENTS

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