一个随机变量的一阶矩的上界研究

A Study of Upper Bound of First Moment of a Random Variable

为解决一个随机变量的一阶矩的最优上界问题,本文通过对该随机变量分布列及对几种计算一阶矩的方法的研究和分析,找到一个比原上界更好的上界;同时对该随机变量的参数p,k研究进一步对该上界进行改进,找到一些满足特定条件的特殊上界。

In order to find a best upper bound of the first moment＇s bound of a random variable, the paper studies distribution of a random variable and some methods of calculating the first moment and obtains a better apper bound. Meanwhile,the study of the parameter p and k of the random variable improves the upper bound and finds the special upper bound for some special conditions.