两个随机变量和的分布类型分析  

Analysis on the Type Probability Distribution about the Summation of Two Random Variables

作　　者：于益华[1] 

机构地区：[1]湖南城市学院数学与计算科学学院,湖南益阳413000

出　　处：《湘南学院学报》2014年第2期20-22,共3页Journal of Xiangnan University

摘　　要：在三种不同情况下,对两个随机变量和的分布类型进行了研究,证明了一个离散型随机变量与一个连续型随机变量的和在一定条件下为连续型随机变量,发现两个连续型随机变量的和却不一定是连续型随机变量,而两个非连续型随机变量的和也可能为连续型随机变量.In this paper ,we investigate the type of probability distribution about the summation of two random variables under three different circumstances ,and prove that the summation of a discrete random variable and a continuous one can be a continuous random variable under some conditions .We also find out that the summation of two continuous random variable may not be a continuous one ,and the summation of two discontinuous random variables may be a continuous one .

关 键 词：随机变量 离散型 连续型 相互独立 

分 类 号：O211.5[理学—概率论与数理统计]