A NOTE ON THE ASYMPTOTIC DISTRIBUTION OF RANGE
A NOTE ON THE ASYMPTOTIC DISTRIBUTION OF RANGE
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DOI：
10.1093/biomet/35.3-4.310
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发表时间：
1948-12
期刊：
影响因子：
2.7
通讯作者：
D. Cox
中科院分区：
文献类型：
--
作者：
D. Cox
本文讨论了另外两种获得范围分布渐近形式的方法，它们的优点是可以直接用范围表示，而Elfving形式涉及范围的非线性变换。给出了一个正态总体的数值结果，比较了这里讨论的两种近似和Elfving近似的精确范围分布。
In the present note, two other methods of obtaining an asymptotic form for the range distribution are discussed, which have the advantage of being expressed directly in terms of the range, while Elfving's form involved a non-linear transformation of range. Numerical results are given for a normal population comparing the exact distribution of range with the two approximations discussed here, and with Elfving's approximation.