%0 Journal Article %T 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 %A 杨欣童 %J Pure Mathematics %P 852-861 %@ 2160-7605 %D 2020 %I Hans Publishing %R 10.12677/PM.2020.109099 %X

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.

%K t分布,正态性,证明,MATLAB
t Distribution %K Normality %K Proof %K MATLAB %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=37735