变化环境中受控分枝过程的收敛性

Convergence of Controlled Branching Processes in a Varying Environment

在变化环境中分枝过程的研究基础上,通过对该模型进行推广,从而引入变化环境中受控分枝过程模型,探讨了其规范化过程(W_(n))的 L^(p)-收敛,且给出了相关证明,其中 ■,P_(n)为规范化序列,Z_(n)为变化环境中受控分枝过程.

On a Galton-Watson process in a varying environment basis,we make a generalization of this model,and form the controlled branching processes in a varying environment. Moreover, we study the L^(p) convergence of the normalization process (W_(n)),and provide the relevant proof,where in ■,P_(n) is the normalized sequence,and Z_(n) is the controlled branching processes in a varying environment.