t分布的渐进正态性证明及其特点分析  

Proof of Asymptotic Normality of t Distribution and Analysis of Its Characteristics

作　　者：杨欣童 

机构地区：[1]东北大学秦皇岛分校数学与统计学院,河北 秦皇岛

出　　处：《理论数学》2020年第9期852-861,共10页Pure Mathematics

摘　　要：前人的研究已经证明t分布函数具有渐进正态的特性。我们改进了前人的研究,应用差函数的特性再次证明了t分布的渐进正态性,并结合MATLAB,直观验证了t分布的这一特性。之后,我们借助直观图形进一步分析了t函数的特性。Previous studies have proved that the t distribution function has the characteristics of asymptotic normality. This paper applies the characteristics of the difference function to prove the asymptotic normality of the t distribution again, improving the previous research. And with the use of MATLAB software, the asymptotic normality is verified intuitively. After that, we further analyze the char-acteristics of the t function with the help of intuitive graphics.

关 键 词：T分布 正态性 证明 MATLAB 

分 类 号：G63[文化科学—教育学]