湖北文理学院学报2024，Vol.45Issue(5)：5-8,4.
随机环境中带移民分枝过程的Hoeffding型不等式
Hoeffding Type Inequality for Branching Processes with Immigration in a Random Environment
摘要
Abstract
Taking into account phenomena such as population migration and the spread of diseases in the natural world,the influence of immigration factors(Yn)is introduced,let{Zn,n≥0} is a supercritical branching process with immigration in an independent and identically distributed(i.i.d.)random environment ξ=(ξn)n≥0.The paper investigates the statistic logZn0+n/Zn0,utilizing the decomposition of log Zn and Hoeffding inequality,to establish a bias inequality for the branching process with immigration in a random environment.关键词
带移民分枝过程/随机环境/Hoeffding型不等式Key words
branching processes with immigration/random environment/Hoeffding type inequality分类
数理科学引用本文复制引用
李瑞,张鑫,彭聪..随机环境中带移民分枝过程的Hoeffding型不等式[J].湖北文理学院学报,2024,45(5):5-8,4.基金项目
国家自然科学基金面上项目(12271062) （12271062）
