摘要
考虑了带有随机控制函数的人口数相依的下临界分枝过程.在对后代分布及控制函数的适当假设下,给出了过程以分布收敛到一个非退化有限随机变量的收敛定理.
The subcritical population-size-dependent branching processes with random control functions are concerned. Under suitable assumptions on the offspring distribution and control function, the convergence in distribution of the population size to a nondegenerate and finite random variable is investigated.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第3期37-41,共5页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Supported by the Natural Science Foundation of China(11301133,11201111)
the Natural Science Foundation of Hebei Province(A2014202236,A2014202052)
关键词
受控的分枝过程
下临界的分枝过程
人口数相依的分枝过程
极限定理
controlled branching processes
subcritical branching processes
population-size-dependentprocesses
limit theorem
