On the null distribution of √b1 for samples of size at most 25, with tables
On the null distribution of √b1 for samples of size at most 25, with tables
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关于样本大小最多为 25 的 √b1 的零分布，附有表格
DOI：
10.1093/biomet/64.2.401
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发表时间：
1977
期刊：
影响因子：
2.7
通讯作者：
H. Mulholland
中科院分区：
文献类型：
--
作者：
H. Mulholland
对于正态母体大小为n的样本中Lb1的抽样分布，通过应用前面给出的一般方法，得到了密度Fn在奇点处的先导奇异项。这些项与由矩拟合的校正项相结合，以给出tOfn的近似值，其积分被用来计算4<；n？12：对于13<；n<；25的Gram-Charlier展开式。根据Geary关于Fn的递推公式，推导出4bl矩的递推公式。对于4<；n<；25，给出了一个百分比表格。
SlUMMARY For the sampling distribution of lbl in samples of size n from a normal parent, leading singular terms of the density fn at its singularities are obtained by application of a general method given previously. These terms are combined with correcting terms, fitted by moments, to give approximations tOfn, integrals of which were used to compute a table of the distribution function Fn for 4 < n ? 12: for 13 < n < 25 Gram-Charlier expansions were used. A recurrence for the moments of 4bl is deduced from Geary's recurrence for fn. For 4 < n < 25 a table of percentage points is given.