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 Electronic Journal of Probability > Vol. 15(2010) > Paper 4 open journal systems 


Perfect simulation of Vervaat perpetuities

James Allen Fill, The Johns Hopkins University
Mark L Huber, Claremont McKenna College


Abstract
We use coupling into and from the past to sample perfectly in a simple and provably fast fashion from the Vervaat family of perpetuities. The family includes the Dickman distribution, which arises both in number theory and in the analysis of the Quickselect algorithm (the motivation for our work).


Full text: PDF

Pages: 96-109

Published on: January 21, 2010


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Electronic Journal of Probability. ISSN: 1083-6489