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Moment properties for two-type continuous-state branching processes in random environments
Shukai Chen, Xiangqi Zheng · 2022-03-11 · via math.PR updates on arXiv.org

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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