Exploring the Limit Relationship and Approximation of Four Commonly Used Probability Distributions
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.
hypergeometric distributionbinomial distributionpoisson distributionnormal distributionlimit distribution
万方数据
维普
