Perfect simulation of vervaat perpetuities

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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). © 2010 Applied Probability Trust.

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APA

Fill, J. A., & Huber, M. L. (2010). Perfect simulation of vervaat perpetuities. Electronic Journal of Probability, 15, 96–109. https://doi.org/10.1214/EJP.v15-734

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