伽尔顿板实验小球分布的研究  

STUDY ON BALLS DISTRIBUTION IN GALTON BOARD EXPERIMENT

作　　者：晋宏营[1] 刘美云[1] 

机构地区：[1]榆林学院能源工程学院,陕西榆林719000

出　　处：《物理与工程》2012年第6期31-34,共4页Physics and Engineering

基　　金：陕西省教育厅科学研究项目(2010JK933);榆林学院高学历人才科研启动基金项目(11GK04)

摘　　要：伽尔顿板实验是一个用来说明统计规律的典型实验.本文使用最大熵原理研究了伽尔顿板实验中小球的分布,导出了小球分布的概率密度函数;然后使用蒙特卡罗方法,对伽尔顿板实验进行了计算机模拟;最后把理论推导结果与模拟结果进行了比较,发现二者符合得较好.Galton board experiment is one representative which can be used to explain statisti- cal regularities. The paper uses mximum entropy principle to study the balls distribution in Galton board experiment, and deduces the probability density funcition of balls distribution. By use of Monte Carlo method, a computer simulation is performed to study Galton board ex- periment. Finally, the theoretical result has been compared with the simulation result, and it is found that they are in good agreement with each other.

关 键 词：伽尔顿板实验 最大熵原理 蒙特卡罗模拟 误差函数 

分 类 号：O414.2[理学—理论物理]