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Strong approximations of the Hoeffding,Blum, Kiefer,Rosenblatt multivariate empirical process |
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| Authors: | Miklós Csörgő |
| Affiliation: | Carleton University, Ottawa, Canada |
| Abstract: | Hoeffding (Ann. Math. Statist. 1948) and Blum, Kiefer and Rosenblatt (Ann. Math. Statist. 1961) constructed distribution free tests of independence based on a multivariate empirical process. We establish strong invariance principles for the latter and also for appropriate functionals of it. |
| Keywords: | 60F15 62H15 60F05 Multivariate empirical processes multitime parameter Gaussian Processes distribution free tests of independence |
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