Poisson-Kingman partitions

@article{Pitman2003PoissonKingmanP,
  title={Poisson-Kingman partitions},
  author={Jim Pitman},
  journal={arXiv: Probability},
  year={2003},
  pages={1-34}
}
  • J. Pitman
  • Published 24 October 2002
  • Mathematics
  • arXiv: Probability
This paper presents some general formulas for random partitions of a finite set derived by Kingman's model of random sampling from an interval partition generated by subintervals whose lengths are the points of a Poisson point process. These lengths can be also interpreted as the jumps of a subordinator, that is an increasing process with stationary independent increments. Examples include the two-parameter family of Poisson-Dirichlet models derived from the Poisson process of jumps of a stable… 
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