Abstract
Berry-Esseen bounds of order $O(N^{-1/2})$ are established for simple linear rank statistics under the null-hypothesis. The theorems are proved for a wide class of scores generating functions which include the normal quantile function. This improves earlier results under the null-hypothesis in von Bahr (1976), Huskova (1977, 1979) and Ho and Chen (1978).
Citation
Ronald J. M. M. Does. "Berry-Esseen Theorems for Simple Linear Rank Statistics Under the Null- Hypothesis." Ann. Probab. 10 (4) 982 - 991, November, 1982. https://doi.org/10.1214/aop/1176993719
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