引进了分支随机Q矩阵、分支随机Q过程和随机生成母函数的概念.研究了分支随机转移矩阵与随机生成母函数的关系.本文的主要结果是:在某些合理的条件下,证明了分支随机Q矩阵的随机Q过程的惟一性.
The concepts of branching random Q matrix, branching random Q process and random generating function are introduced. The relation of branching random transition matrix and random generating function are investigated. The main result of this paper is the uniqueness of random Q process for branching random Q matrix under some reasonable conditions.