概率分布中的递推问题

Recursion Issues in Probability Distribution

结合离散型随机变量的可能取值是自然数这一特点,利用归纳递推的思想给出了常用的离散型随机变量概率分布的递推公式,并用同一个数学表达式表示,此时只需对表达式中的参数选取相应的值,便可获得不同离散型随机变量的概率分布。利用该结论可以使一些比较烦琐的概率计算问题借助于计算机予以解决。

With the fact that possible values of discrete random variables are the natural numbers, and by using the induction and recursion methods, this article concludes the general probability distribution form of the discrete random variable which is commonly used, and summarizes it in one mathematical express. With the different values, we can get the corresponding probability distributions of discrete random variable. From this conclusion, we can ask for the computer to solve some complex probability computing problems.