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Revisiting two strong approximation results of Dudley and Philipp

Philippe Berthet·David M. Mason
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Abstract

We demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and refined versions of them.

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Philippe Berthet, David M. Mason. 2006-12-22. Revisiting two strong approximation results of Dudley and Philipp. https://doi.org/10.1214/074921706000000824

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