基于R软件的数理统计可视化教学研究——以最大似然估计为例

Research on Visualization Teaching in Mathematical Statistics Basing on R Software—Taking the Maximum Likelihood Estimation as an Example

摘要: 在数理统计课程的教学过程中，利用R软件实现可视化教学，帮助学生建立统计思维.本文以最大似然估计教学内容为例，通过R软件绘制对数似然函数的图像，似然估计的相合性与正态渐近性等可视化教学示例，可以直观地解释似然函数的意义，理解最大似然估计的统计性质。结果表明，可视化教学能够使学生更加深刻快速地掌握数理统计的理论方法，提高学生学习效率。

Abstract: In the teaching process of mathematical statistics course, R software is used to realize visualization teaching and help students to establish statistical thinking. Taking the teaching content of maximum likelihood estimation as an example, this paper uses R software to draw the image of the log-likelihood function, and visualization teaching examples of the consistency and asymptotic normality of likelihood estimation, so as to intuitively explain the meaning of likelihood function and understand the statistical properties of maximum likelihood estimation. The results show that visualization teaching can help students to grasp the theoretical methods of mathematical statistics more deeply and quickly, and improve their learning efficiency.