The Annals of Statistics
- Ann. Statist.
- Volume 4, Number 2 (1976), 400-405.
On the Asymptotic Normality of Rank Statistics for The Two-Sample Problem
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.
Ann. Statist., Volume 4, Number 2 (1976), 400-405.
First available in Project Euclid: 12 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Shirahata, Shingo. On the Asymptotic Normality of Rank Statistics for The Two-Sample Problem. Ann. Statist. 4 (1976), no. 2, 400--405. doi:10.1214/aos/1176343416. https://projecteuclid.org/euclid.aos/1176343416