离散型随机变量的连续化方法

Continuous transformation methods of discrete random variables

讨论了如何把离散型随机变量转化为连续型随机变量.首先给出了连续型随机变量与通过对其取整得到的离散型随机变量应该满足的两个充分必要条件,然后从不限定和限定连续型随机变量的分布这两个方面,给出了离散型随机变量连续化的几种方法,并且用这些方法分别解决了几何分布和离散韦布尔分布分别向指数分布和韦布尔分布的转化.

This paper mainly discusses how to convert discrete random variables into continuous random variables.Firstly,two sufficient and necessary conditions are given for continuous random variables and discrete random variables obtained by integrating continuous random variables.And then,in terms of the undefined and the finite distributions of continuous random variables,this paper gives several methods for the continuous transformation of discrete random variables.The paper makes geometric distribution and discrete Weibull distribution transformed into exponential distribution and Weibull distribution by these methods respectively.