Open Access
October 1996 Transformations of the empirical measure and Kolmogorov-Smirnov tests
Alejandra Cabaña
Ann. Statist. 24(5): 2020-2035 (October 1996). DOI: 10.1214/aos/1069362307

Abstract

The power of Kolmogorov-Smirnov tests can be increased by transforming the empirical process into a new process that converges to a Wiener process under the null hypothesis and by choosing the transformation in such a way that some families of local alternatives become as noticeable as possible.

Citation

Download Citation

Alejandra Cabaña. "Transformations of the empirical measure and Kolmogorov-Smirnov tests." Ann. Statist. 24 (5) 2020 - 2035, October 1996. https://doi.org/10.1214/aos/1069362307

Information

Published: October 1996
First available in Project Euclid: 20 November 2003

zbMATH: 0867.62038
MathSciNet: MR1421158
Digital Object Identifier: 10.1214/aos/1069362307

Subjects:
Primary: 62G10 , 62G20
Secondary: 60G15

Keywords: empirical process transformations , Goodness-of-fit , power improvement

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 5 • October 1996
Back to Top