论文标题

随机环境中两种连续分支过程的矩属性

Moment properties for two-type continuous-state branching processes in random environments

论文作者

Chen, Shukai, Zheng, Xiangqi

论文摘要

我们首先得出了莱维随机环境中两种连续分支过程的整数矩的重复。结果表明,该过程的$ n $第三矩是该过程的初始价值的多项式,最多是$ n $度。在某种自然条件下,还证明了该过程的$ f $ the的标准。

We first derive the recurisions for integer moments of two-type continuous-state branching processes in Lévy random environments. Result shows that the $n$th moment of the process is a polynomial of the initial value of the process with at most $n$ degree. Under some natural condition, the criteria for the existence of $f$-moment of the process are also proved.

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