连续时间分支过程的一类推广

A Further Extended Class of Continuous-Time Branch Process

随机稳定性是各种随机模型中的至关重要的问题 ,随机稳定性的关键问题是找出过程遍历和强遍历的条件 .本文对连续时间分支过程的一类推广进行了研究 ,给出了过程随机单调和强遍历的条件 .与此同时 ,得到了最小过程是

Stochastic stability is of crucial importance in all kind of stochastic models.Such investigation involves finding criterias of ergodicity and strong regodicity. This paper is devoted to studing a further extended class of continuous time branching process. Stochastic monotonicity and strong ergodicity criterias for the processes are presented. In the meantime,we obtain the condition of the minimal process is a Feller transition function.