独立同分布环境中配对依人口数两性分支过程L^1收敛

Bisexual Branching Process with Population-size-dependent in Random Environments

考虑了随机环境中配对依人口数两性分枝过程模型,并且得到了独立同分布环境配对依人口数两性分枝过程{Zn}对应的过程{Wn}的L1收敛的充分条件.

In this paper, a branching model called bisexual branching processes with population-size-dependent mating in random environments was considered.A sufficient condition of the process{Wn} with L1 convergence was obtained when the random environments are independent and identically distributed.