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September, 1994 Goodness-of-Fit and Comparison Tests of the Kolmogorov-Smirnov Type for Bivariate Populations
Alejandra Cabana, Enrique M. Cabana
Ann. Statist. 22(3): 1447-1459 (September, 1994). DOI: 10.1214/aos/1176325636

Abstract

Statistical tests consistent under any alternative are provided for both goodness-of-fit and two-sample comparisons. They are based on (1) the derivation of estimates for the tails of the probability distribution of some particular functionals of a Wiener sheet and (2) the use of a mapping that carries normalized empirical processes (asymptotically distributed as Brownian bridge) onto new processes that converge in distribution to a Wiener sheet. The proposed test statistics are easily obtained from the data. Hints for its computation and empirical estimations of the power of the tests are given.

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Alejandra Cabana. Enrique M. Cabana. "Goodness-of-Fit and Comparison Tests of the Kolmogorov-Smirnov Type for Bivariate Populations." Ann. Statist. 22 (3) 1447 - 1459, September, 1994. https://doi.org/10.1214/aos/1176325636

Information

Published: September, 1994
First available in Project Euclid: 11 April 2007

zbMATH: 0817.62035
MathSciNet: MR1311983
Digital Object Identifier: 10.1214/aos/1176325636

Subjects:
Primary: 62G10
Secondary: 60G15, 60G60

Rights: Copyright © 1994 Institute of Mathematical Statistics

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Vol.22 • No. 3 • September, 1994
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