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SUMMARY:Confidence bands for distribution functions: A new look at the law
  of the iterated logarithm - Lutz Dümbgen\, University of Bern\, Switzerl
 and
DTSTART:20140624T110000Z
DTEND:20140624T113000Z
UID:TALK53105@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:We present a general law of the iterated logarithm for stochas
 tic processes on the\nopen unit interval having subexponential tails in a 
 locally uniform fashion. It applies\nto standard Brownian bridge but also 
 to suitably standardized empirical distribution\nfunctions. This leads to 
 new goodness-of-fit tests and confidence bands which refine\nthe procedure
 s of Berk and Jones (1979) and Owen (1995). Roughly speaking\, the\nhigh p
 ower and accuracy of the latter procedures in the tail regions of distribu
 tions\nare essentially preserved while gaining considerably in the central
  region.\nJoint work with Jon Wellner.
LOCATION:Centre for Mathematical Sciences\, Meeting Room 2
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