The Annals of Mathematical Statistics
- Ann. Math. Statist.
- Volume 43, Number 6 (1972), 1991-1992.
On the Efficiency of a Competitor of the Two-Sample Kolmogorov-Smirnov and Kuiper Tests
In a paper by Abrahamson , it is shown that the Kuiper test generally performs better than the Kolmogorov-Smirnov (K-S) test according to exact Bahadur relative efficiency. The present note concerns the Bahadur efficiency of a related test statistic $U_n$ whose exact null probability distribution is available in the two-sample case with equal sample sizes. It is shown that $U_n$ is often more efficient than the K-S test and may even be as efficient as the Kuiper test.
Ann. Math. Statist., Volume 43, Number 6 (1972), 1991-1992.
First available in Project Euclid: 27 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Littell, Ramon C. On the Efficiency of a Competitor of the Two-Sample Kolmogorov-Smirnov and Kuiper Tests. Ann. Math. Statist. 43 (1972), no. 6, 1991--1992. doi:10.1214/aoms/1177690871. https://projecteuclid.org/euclid.aoms/1177690871