Exchangeable and partially exchangeable random partitions

@article{Pitman1995ExchangeableAP,
  title={Exchangeable and partially exchangeable random partitions},
  author={Jim Pitman},
  journal={Probability Theory and Related Fields},
  year={1995},
  volume={102},
  pages={145-158}
}
  • J. Pitman
  • Published 1 June 1995
  • Mathematics
  • Probability Theory and Related Fields
SummaryCall a random partition of the positive integerspartially exchangeable if for each finite sequence of positive integersn1,...,nk, the probability that the partition breaks the firstn1+...+nk integers intok particular classes, of sizesn1,...,nk in order of their first elements, has the same valuep(n1,...,nk) for every possible choice of classes subject to the sizes constraint. A random partition is exchangeable iff it is partially exchangeable for a symmetric functionp(n1,...nk). A… 
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