Mathematica在概率统计中的应用  

Application of Mathematica in Probability Statistics

作　　者：魏章志[1] 吴婧泽 李杰[1] WEI Zhangzhi;WU Jingze;LI Jie(School of Mathematics and Statistics,Suzhou University,Suzhou 234000,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《宿州学院学报》2021年第6期78-80,共3页Journal of Suzhou University

基　　金：国家自然科学基金项目(11771001);安徽省高校自然科学基金项目(KJ2019A0672);安徽省教育厅教学研究项目(2019jyxm0468,2020jyxm1981);宿州学院博士科研启动基金项目(2020BS011)。

摘　　要：概率统计中的很多经典问题对于概率统计的学习具有很好的引导作用,理解这些经典问题对进一步学习概率统计是非常重要的。给出了Mathematica软件在概率统计课堂教学中的一些应用实例,通过程序实例示范了Mathematica软件函数式编程的特点和优点以及解决问题的优越性。通过对三门问题、大数定律以及中心极限定理等经典概率统计问题的随机模拟,可以帮助学生更形象地理解相关概念和内容,激发学生学习概率统计知识和利用Mathematica软件研究问题、解决问题的兴趣。Many classical problems in probability statistics play a good guiding role in learning probability statistics.Understanding these problems is very important for further study of probability statistics.Some application examples of Mathematica in the classroom teaching of probability statistics are discussed in this article.The characteristics and advantages of Mathematica software functional programming in solving problems are demonstrated.Through stochastic simulation of classical probability statistics problems,such as the three-door problem,the law of large numbers and the central limit theorem,it helps the students master related concepts and content more visually,and stimulate students′interest in learning probability statistics,studying and solving problems with Mathematica.

关 键 词：函数式编程 三门问题 大数定律 中心极限定理 

分 类 号：O212[理学—概率论与数理统计]