论文标题
精制学生分布的正常近似值
Refined normal approximations for the Student distribution
论文作者
论文摘要
在本文中，我们为学生分布开发了局部限制定理。我们使用它来改善Shafiei＆Saberali（2015）中给出的学生存活函数的正常近似，并在四个近似水平下得出相应最大误差的渐近界限。作为推论，根据标准正态分布的百分比，获得了学生分布百分比（或分位数）的近似值。
In this paper, we develop a local limit theorem for the Student distribution. We use it to improve the normal approximation of the Student survival function given in Shafiei & Saberali (2015) and to derive asymptotic bounds for the corresponding maximal errors at four levels of approximation. As a corollary, approximations for the percentage points (or quantiles) of the Student distribution are obtained in terms of the percentage points of the standard normal distribution.
