Hoeffding Type Inequality for Branching Processes with Immigration in a Random Environment
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.
branching processes with immigrationrandom environmentHoeffding type inequality
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