This paper discusses the limit relation between four commonly used probability distributions in probability theory and mathematical statistics courses:hypergeometric distribution,binomial distribution,Poisson distribution,and normal distribution.And it is pointed out that in probability calculation,under certain conditions,hypergeometric distribution can be approximated by binomial distribution,binomial distribution can be approximated by Poisson distribution and normal distribution,and Poisson distribution can also be approximated by normal distribution.Finally,a structural diagram was used to demonstrate the intrinsic relationships of several commonly used distributions,in order to help students better understand and use several probability distributions,and establish a relatively complete knowledge system.
关键词
超几何分布/二项分布/泊松分布/正态分布/极限分布
Key words
hypergeometric distribution/binomial distribution/poisson distribution/normal distribution/limit distribution
维普
万方数据