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中心极限定理讨论的是独立随机变量和的分布趋向正态分布的条件问题。在解决这一问题的过程中也说明了为什么在各种随机现象中广泛的存在着正态分布。它既是前边概率论部分的一个理论总结,又是后边数理统计部分的一个理论总结,又是后边数理统计部分的理论基础。因此几乎每一本概率论和数理统计的教科书中都有这个定理,但详略不同,深浅互异,合有所长。在师范专科学校的教学中究竟应该怎样处理这一部份教材?如何掌握它的深浅程度?如何安排它的教学顺序?这的确是一个值得认真讨论的问题。下边提出自己的教学意见,作为处理这一部分教材的参考。 一、复习直方图的画法,从实例引入正态分布。自从高斯指出测量误差服从正态分
The central limit theorem discusses the condition that the distribution of sum of independent random variables tends to be normal. In the course of solving this problem, it also shows why there is a wide range of normal distribution among various random phenomena. It is not only a theoretical summary of the front part of the probability theory, but also a theoretical conclusion of the mathematical statistics part and the theoretical basis of the latter part of the mathematical statistics part. Therefore, almost every textbook on probability theory and mathematical statistics has this theorem, but with different details, different shades and different strengths. How to deal with this part of the teaching materials in the teaching of normal colleges? How to grasp the degree of its depth? How to arrange its teaching sequence? This is really a problem that deserves serious discussion. Below to put forward their own teaching opinions, as a reference for dealing with this part of the textbook. First, review the histogram of the drawing, from the introduction of normal distribution. Since Gauss pointed out that the measurement error obeys normal scores