在深入研究经典分枝过程的基础上,进行模型的扩展与创新,进而推出随机环境中乘积受控分枝过程模型,探讨了序列log Wn的矩的存在性,且给出了相关证明,其中Wn=Zn/Pn,Pn为规范化序列,Zn为随机环境中乘积受控分枝过程。Based on the researc...在深入研究经典分枝过程的基础上,进行模型的扩展与创新,进而推出随机环境中乘积受控分枝过程模型,探讨了序列log Wn的矩的存在性,且给出了相关证明,其中Wn=Zn/Pn,Pn为规范化序列,Zn为随机环境中乘积受控分枝过程。Based on the research of classical branching processes, the model is extended and innovated, leading to a multiplicative controlled branching process in a random environment. Moreover, we explore the existence of moments of the sequence log Wn, and relevant proofs are given, where Wn=Zn/Pn, Pnis the normalized sequence, Znis the multiplicative controlled branching process in a random environment.展开更多
文摘在深入研究经典分枝过程的基础上,进行模型的扩展与创新,进而推出随机环境中乘积受控分枝过程模型,探讨了序列log Wn的矩的存在性,且给出了相关证明,其中Wn=Zn/Pn,Pn为规范化序列,Zn为随机环境中乘积受控分枝过程。Based on the research of classical branching processes, the model is extended and innovated, leading to a multiplicative controlled branching process in a random environment. Moreover, we explore the existence of moments of the sequence log Wn, and relevant proofs are given, where Wn=Zn/Pn, Pnis the normalized sequence, Znis the multiplicative controlled branching process in a random environment.
