Open Access
Translator Disclaimer
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


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.


Download Citation

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.


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

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

Primary: 62G10
Secondary: 60G15 , 60G60

Keywords: bivariate Kolmogorov-Smirnov tests , empirical measure transformations , tail estimates for functionals of Wiener sheet , Wiener sheet

Rights: Copyright © 1994 Institute of Mathematical Statistics


Vol.22 • No. 3 • September, 1994
Back to Top