An Asymptotic Expansion for the Tail Area of the t -Distribution
An Asymptotic Expansion for the Tail Area of the t -Distribution
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t分布尾部面积的渐近展开式
DOI：
10.1080/01621459.1976.10481556
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发表时间：
1976
影响因子：
3.7
通讯作者：
A. Soms
中科院分区：
文献类型：
--
作者：
A. Soms
利用初等方法，得到了t-尾区的一个有误差界的渐近展开式。指出了如何利用这一结果来逼近较小的t百分位数。文中还给出了t-尾面积与正常尾面积之比趋近于1的充分条件。
Abstract By means of elementary methods, an asymptotic expansion with error bounds is obtained for the t-tail area. It is indicated how this result may be used to approximate small t percentiles. A sufficient condition for the ratio of the t-tail area to the normal tail area to approach unity is also given.