总体参数假设检验的研究性教学——以非正态总体为例

Research teaching on hypothesis testing of population parameters——Taking a non-normal population for example

非正态总体参数的假设检验是数理统计中的一个难点问题,其处理方法灵活多变,技巧性强,教师难于讲授,学生难于掌握.系统研究了在处理非正态总体参数假设检验时检验统计量的构造问题,给出几种常用的构造方法.通过实例展示了使用这些方法构造检验统计量的思路和技巧,使学生便于理解和掌握.所给的处理方法和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.

Hypothesis testing of parameters for non-normal population is a difficult problem in mathematical statistics.Its processing method is flexible and skillful,which is difficult for teachers to teach and students to master.The construction of test statistics was systematically studied when dealing with the hypothesis test of non-normal population parameters,and several common construction methods was given.Through examples,the ideas and skills of using these methods to construct test statistics are shown,which is easy for students to understand and master.The processing methods and techniques have certain methodological significance and are worth popularizing in the research teaching of mathematical statistics.