The First Time of a Brownian Motion from an Unbounded Convex Domain

Author(s)Li, Wenbo
Date Accessioned2005-02-17T17:00:02Z
Date Available2005-02-17T17:00:02Z
Publication Date2002
AbstractConsider the first exit time, ˝D of a (d + 1)-dimensional Brownian motion from an unbounded open domain D = (x; y) 2 R d+1 : y > f(x); x 2 R d starting at (x0; f(x0) + 1) 2 R d+1 for some x0 2 R d , where the function f(x) on R d is convex and f(x) ! 1 as the Euclidean norm j x j ! 1 . Very general estimates for the asymptotics of log P (˝D > t) are given by using Gaussian techniques. In particular, for f(x) = exp fj x j p g , p > 0, lim t !1 ten
SponsorSupported in part by NSF Grant DMS-9972012.en
Extent234768 bytes
MIME typeapplication/pdf
URLhttp://udspace.udel.edu/handle/19716/336
Languageen_US
PublisherDepartment of Mathematical Sciencesen
Part of SeriesTechnical Report: 2002-12
KeywordsBrownian Motionen
KeywordsBessel processen
Keywordsasymptotic tail distributionen
Keywordsexit probabilitiesen
KeywordsSlepian's inequalityen
dc.subject.classificationAMS: 60G40, 60J65
TitleThe First Time of a Brownian Motion from an Unbounded Convex Domainen
TypeTechnical Reporten
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