中文摘要：

转移概率流图模型是获取随机过程转移路径的转移概率函数和某些重要随机变量的概率母函数的有效方法．借助于该方法，讨论了多项分布；给出了广义几何分布和广义帕斯卡分布的概率母函数；导出了它们的数学期望、方差和分布律等．

英文摘要：

Transition probability flow graphs model is an effective method for getting the transition probability of stochastic processes and the generating functions of some random variables. By this method, the paper discusses multinomial distribution, derives the probability generating functions of generalization geometric variables and generalization Pascal variables, and obtains the means, variances and probability distributions OF them.