Revisiting two strong approximation results of Dudley and Philipp

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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.
Published at http://dx.doi.org/10.1214/074921706000000824 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Statistics Theory, Probability, 62E17, 62E20 (Primary) 60F15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/131283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612701
 http://arxiv.org/abs/math/0612701
 IMS Lecture Notes Monograph Series 2006, Vol. 51, 155-172
 doi:10.1214/074921706000000824

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arXiv