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。
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.
随机变量是一个根据概率分布取值的函数。
A random variable is a function that takes values based on a 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。
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.
随机变量的分布函数及其反函数在概率论中占有重要地位。
Random variable distribution functions and their inverse functions take an important role in probability theory.
对于功能函数中含有模糊分布参数(FDP)的随机变量问题，如何准确且简便地评估其可靠性，是十分重要的。
For a problem with performance functions which include random variables with fuzzy distribution parameters (FDP), it is important to evaluate their reliability accurately and rapidly.
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。
Singular function is an important distribution function of the singular random variable. It is studied widely.
当单调函数的反函数不能显性表示时，连续型随机变量的分布密度曲线仍可通过参数方程的形式获得。
When a inverse function of monotone function can not show the explicit formula, the distribution density curve of continuous randon variable can be gained with a parametric equation.
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。
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.
不要求了解所涉及的随机变量的分布函数是该方法的特点。
The advantage of the method is that there is no requirement on the distribution of the random variables involved.
介绍了用离散型随机变量的二项分布函数从试题库随机选题的数学模型。
This paper introduces the mathematical model for dynamically choosing questions from the question database by using binary distributed function with random variables.
其结论是：在不同方式的定义下，同一随机变量的分布函数几乎处处相等。
This paper discusses the difference of the two of definitions of distribution function, and the result is that the tow functions are equal almost everywhere.
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。
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.
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