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基于Mathematica的中心极限定理的实验分析
引用本文:易秀英,王三宝.基于Mathematica的中心极限定理的实验分析[J].黄石理工学院学报,2010,26(1):29-32.
作者姓名:易秀英  王三宝
作者单位:黄石理工学院师范学院,湖北,黄石,435003
基金项目:黄石理工学院2009年科研项目(项目编号:09yjr84B)
摘    要:基于Mathematica讨论了二项分布与正态分布之间的关系,对棣莫弗-拉普拉斯中心极限定理进行实验研究,通过图像演示和相对误差分析,给出二项分布的极限分布及其相应的准确度分析,并得出了一些计算概率的近似公式.

关 键 词:二项分布  极限  准确度

Experimental Analysis of Central Limit Theorem Based on Mathematica
YI Xiuying,WANG Sanbao.Experimental Analysis of Central Limit Theorem Based on Mathematica[J].Journal of Huangshi Institute of Technology,2010,26(1):29-32.
Authors:YI Xiuying  WANG Sanbao
Institution:Normal School;Huangshi Institute of Technology;Huangshi Hubei 435003
Abstract:Based on Mathematica,the relationship between Binomial distribution and normal distribution was discussed and the experiment was done to study the De Moivre-Laplace central limit theorem.Through the image demonstration and the relative error analysis,binomial distribution's limit distribution and its corresponding accuracy analysis were given and the approximate formula for calculating the probability was obtained.
Keywords:binomial distribution  limit  accuracy  
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