BEJ220 10.3150/09-BEJ220 BEJ0810-007 20 Strong approximation of exceedences Peter G Hall The University of Melbourne and University of California halpstat@ms.unimelb.edu.au Qiying Wang The University of Sydney qiying@maths.usyd.edu.au http://www.e-publications.org/ims/submission/index.php/BEJ/user/submissionFile/4027?confirm=c32619c9