随机环境加权分枝过程的方差和Fuk-Nagaev型不等式  

The Variance and Fuk-Nagaev Type Inequality for Weighted Branching Processes in a Random Environment

作　　者：邓琳 陈祁欢 鲁展 

机构地区：[1]长沙理工大学数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2023年第10期4183-4188,共6页Advances in Applied Mathematics

摘　　要：在对随机环境中加权分枝过程(Yn)的研究基础上,考虑其规范化过程Wn的方差及其收敛性,并予以了详细的证明,其中规范化过程为,是规范化序列,是随机环境分枝过程相关结论的拓展;并且建立了一个关于统计量的Fuk-Nagaev型不等式。On the basis of the research on the weighted branching process (Yn) in random environments, the variance and convergence of its normalization process Wn are considered, and the de-tailed proof is provided. The normalization process is , and is the normalized se-quence, which is an extension of the conclusions related to the branching process in random envi-ronments. Besides, we establish a Fuk-Nagaev type inequality for .

关 键 词：随机环境 加权分枝过程 方差 Fuk-Nagaev型不等式 

分 类 号：G63[文化科学—教育学]