Abstract
Conditions to ensure the asymptotic normality of rank statistics having a scores generating function with finitely many jumps are obtained. These conditions are derived by studying rank statistics with a scores generating function $J$ such that $J(u) = 1$ or $0$ as $u \geqq s$ or $u < s$ for a fixed $s, 0 < s < 1$. No differentiability conditions are imposed on the underlying distribution functions at the jump points of the scores generating function.
Citation
Shingo Shirahata. "On the Asymptotic Normality of Rank Statistics for The Two-Sample Problem." Ann. Statist. 4 (2) 400 - 405, March, 1976. https://doi.org/10.1214/aos/1176343416
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