节点文献
离散型与连续型随机变量函数的分布
Functions. Distribution of Discrete and Continuous Random Variables
【摘要】 给出一个离散型随机变量与一个连续型随机变量的二元函数的分布函数解析式,推导出离散型与连续型随机变量的积商和极值的分布函数的一般形式,并证明了积与商在不同条件下可能为连续型随机变量,也可能是奇异型随机变量的事实。
【Abstract】 The analytic expression of the distribution function of the binary function of a discrete random variable and a continuous random variable was proposed. The general form of the distribution function of the product quotient and extreme value of discrete and continuous random variables was derived. And the fact that the product and quotient may be a continuous random variable or a singular random variable under different conditions was proved.
【关键词】 离散型随机变量;
连续型随机变量;
奇异型随机变量;
分布函数;
拟概率密度函数;
【Key words】 discrete random variable; continuous random variable; singular random variable; distribution function; quasi probability density function;
【Key words】 discrete random variable; continuous random variable; singular random variable; distribution function; quasi probability density function;
【基金】 国家自然科学基金(31701309);河南省高等教育教学改革研究重点项目(2017SJGLX034);河南省教育科学“十三五”规划课题(2019-JKGHYB-0036)
- 【文献出处】 河南教育学院学报(自然科学版) ,Journal of Henan Institute of Education(Natural Science Edition) , 编辑部邮箱 ,2022年02期
- 【分类号】O211.5
- 【下载频次】290