【摘 要】
：
Let (Zn) be a branching process with immigration in a random environment ζ,where ζ is an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Zn and describe the decay rates of the n-ste
【机 构】
：
Department of Mathematics,Harbin Institute of Technology (Weihai),Weihai 264209,China;School of Data
论文部分内容阅读
Let (Zn) be a branching process with immigration in a random environment ζ,where ζ is an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Zn and describe the decay rates of the n-step transition probabilities.As applications,a large deviation principle for the sequence log Zn is established,and related large deviations are also studied.
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