统计学专业数理统计课程研究性教学之初探--非正态总体参数的区间估计

On the Research-oriented Teaching of Mathematical Statistics for Statistics Major--Interval Estimation of Parameters for Non-normal Population

非正态总体参数的区间估计是数理统计中的一个重点和难点,其解题方法灵活,技巧性强,学生难于掌握.为此归纳总结了处理非正态总体参数区间估计的三种常用方法,即枢轴量法、分布函数法和大样本方法.并通过实例展示了使用三种方法构造置信区间的思路和技巧,使学生便于理解和掌握.其方法和处理技巧具有一定的方法论意义,在数理统计研究性教学中值得推广使用.

The interval estimation of parameters for non-normal population has always been a key and difficult problem in mathematical statistics.Its processing method is flexible and skilled,which is difficult for students to master.In this paper,three common methods are summarized for interval estimation of non-normal population,namely,the pivoting method,distribution function method and large sample method.It also shows the ideas and skills of constructing confidence interval using the three methods through examples,which makes it easy for students to understand and grasp.The methods and techniques have some methodological significance and are worth popularizing in the research teaching of mathematical statistics.