随机变量函数分布中的几个特例

Some Special Cases of the Distribution of the Function of Random Variables

通过具体的例子说明连续型随机变量的函数可变为离散型随机变量,离散型随机变量的函数可变为连续型随机变量.进一步地,连续型随机变量用函数复合后可变为既不是离散型的又不是连续型的随机变量.

In this paper, we give some examples to show that a function of a continuous random variable can be a discrete random variable ; a function of a sequence of discrete random variables can be a continuous random variable. Furthermore, a function of a continuous random variable can neither be a discrete random variable nor a continuous random variable.