摘要
概率论是从随机变量的分布出发研究随机现象的统计规律的，因此关于随机变量的分布是概率论中的核心内容，而随机变量函数的分布又是这1核心内容的拓展与深化．对于随机变量函数的分布，本文论述了它的重要作用，提炼了它的知识结构，系统地论述了随机变量的各种变换．在此基础上，讨论了各分布之间的变换关系及性质，并给出了若干应用．这对于概率论知识结构的掌握和应用具有1定的参考价值．
关键词：随机变量函数；分布函数；分布密度；卷积公式．
By Random Variable Function Distribution
ABSTRACT
Probability theory starting from the distribution of random variables in the statistical study of random phenomena, and therefore on ution of random variables probability theory is the core content and function of the distribution of random variables is the core content to expand and deepen. Regarding the random variable function distribution, this article elaborated its vital role, has refined its knowledge structure, systematically elaborated random variable each kind of transformation. in this foundation, discussed between each distribution transformation relations and the nature, and produced certain application. this to have the certain reference value regarding theory of probability knowledge structure grasping with the application.
Key word: Random variable function；distribution function；density of distribution；Convolution formula
目录
中文题目
中文摘要和关键词
英文题目
英文摘要和关键词
前言
正文
有关随机变量函数的分布的知识结构图
随机变量的常用变换
应用举例
参考文献
致谢
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