Goodness-of-fit and comparison tests of the Kolmogorov-Smirnov type for bivariate populations,

A. Cabaña*, E.M. Cabaña

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

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.
Original languageEnglish
Pages (from-to)1447-1459
JournalThe Annals of Statistics
Volume22
Publication statusPublished - 1 Jan 1994

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