广生灭过程的遍历性及平稳分布  

The Ergodic Property and Equilibrium Distribution of the Generalized Birth and Death Processes

作　　者：唐有荣[1] 刘再明[1] 侯振挺[1] 

机构地区：[1]长沙铁道学院科研所,长沙410075

出　　处：《数学物理学报（A辑）》1998年第1期25-32,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金

摘　　要：文献[1]研究了广生灭过程的向上积分型随机泛函，得到了广生灭过程的若干数字特征以及常返的充要条件，该文讨论广生灭过程向下积分型随机泛函，给出了广生灭过程遍历的充要条件以及平均返回时间的计算公式，并在遍历的条件下求出了广生灭过程的平稳分布．Reference [1] has concerned upward integral random functional of the generalizedbirth and death processes and obtained several digital features of the processes and the Tish paper deals with down sary and sufficient conditions for the processes to be recurrent. This paper dcals with downward integral random functional of the generalized birth and death processes, and obtains thenecessary and sufficient conditions for the processes to be ergodic and computational formulafor average recurrent times as well as the equilibrium distributions of the processes in the ergodic conditions.

关 键 词：随机潲函 遍历性 平稳分布 广生灭过程 

分 类 号：O177[理学—数学] O211－6[理学—基础数学]