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December, 1972 On the Efficiency of a Competitor of the Two-Sample Kolmogorov-Smirnov and Kuiper Tests
Ramon C. Littell
Ann. Math. Statist. 43(6): 1991-1992 (December, 1972). DOI: 10.1214/aoms/1177690871

Abstract

In a paper by Abrahamson [1], 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.

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Ramon C. Littell. "On the Efficiency of a Competitor of the Two-Sample Kolmogorov-Smirnov and Kuiper Tests." Ann. Math. Statist. 43 (6) 1991 - 1992, December, 1972. https://doi.org/10.1214/aoms/1177690871

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0248.62025
MathSciNet: MR359165
Digital Object Identifier: 10.1214/aoms/1177690871

Rights: Copyright © 1972 Institute of Mathematical Statistics

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Vol.43 • No. 6 • December, 1972
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