Solving the distribution of random variable function which is of great significance whether in theory or in application is an important question in probability theory.
求随机变量函数的分布是概率论中的一个重要课题，无论是在理论还是在应用上都有着十分重要的意义。
Instead of this single value, a random variable has a function that describes the likelihood of values for the estimate and is called the variable's probability distribution.
取代单个值，随机变量拥有描述估计值可能性的函数，该函数称为变量的概率分布。
Singular function is an important distribution function of the singular random variable. It is studied widely.
奇异函数是一极为重要的奇异型随机变量的分布函数，被广泛研究。
This article the compares the two kinds of different definitions of random variable distribution function and shows nature differences of distribution function in different definitions.
本文对随机变量分布函数两种不同定义进行了比较，指出了不同定义的分布函数其性质上的差异。
And finally, this tool-the generating function-can be used to get some expectation and variance of random variable of continual-type non-negative distribution.
最后利用母函数这一工具求得一些连续型非负分布随机变量的数学期望及方差。
And finally, this tool-the generating function-can be used to get some expectation and variance of random variable of continual-type non-negative distribution.
最后利用母函数这一工具求得一些连续型非负分布随机变量的数学期望及方差。
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