Poisson representation of a Ewens fragmentation process
Probability
2007-05-23 v1 Combinatorics
Abstract
A simple explicit construction is provided of a partition-valued fragmentation process whose distribution on partitions of at time is governed by the Ewens sampling formula with parameter . These partition-valued processes are exchangeable and consistent, as varies. They can be derived by uniform sampling from a corresponding mass fragmentation process defined by cutting a unit interval at the points of a Poisson process with intensity on , arranged to be intensifying as increases.
Keywords
Cite
@article{arxiv.math/0608307,
title = {Poisson representation of a Ewens fragmentation process},
author = {Alexander Gnedin and Jim Pitman},
journal= {arXiv preprint arXiv:math/0608307},
year = {2007}
}
Comments
10 pages