计算机模拟在概率论课程教学中的应用  

Application of computer simulation on the tuition of probability

作　　者：徐安农[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2008年第2期153-156,共4页Journal of Guilin University of Electronic Technology

摘　　要：计算机模拟概率论随机试验在理解频率的稳定性以及大数定律和中心极限定理方面有着显著的教学作用。通过对余数法、混同余法产生均匀随机数的方法和利用Mathematica软件产生各种分布的随机数方法的讨论,并利用计算机手段对所得到的伪随机数进行假设检验的方法。最后以蒲丰的投针试验为例,介绍通过奇思妙想把概率思想用于数值计算的蒙特卡洛方法。The computer simulation theory of probability random trial has a significant teaching role in the understanding of frequency＇s stability as well as the law of averages and the central limit theorem. This paper discusses the confusion over law, more than confuse uniform random numbers generated by Mathematica and the use of a random number distribution of the various methods used by the computer by means of pseudo-random number for hypothesis testing approach. Buffon Throwing vote and the needle test as an example and the probability through brainstorms ideas for the numerical Monte Carlo method are also discussed.

关 键 词：随机试验 混同余法 蒙特卡洛方法 

分 类 号：G642.1[文化科学—高等教育学]