In this paper, we define the probability generating functions of r-dimension branching chains in random environment and, by using the probability generating functions, we obtain an exact formula of covariance matrix of r-dimension branching chains in random environment.
定义了各种条件多元概率母函数,并利用条件多元概率母函数这一强有力工具研究随机环境中r维分支链的性质,并给出了其协方差阵的精确计算公式。