%0 Generic %1 arXiv:math.PR/0210396 %A Pitman, Jim %D 2002 %K author_pitman_from_arxiv %T Poisson-Kingman partitions. %U http://arxiv.org/abs/math.PR/0210396 %X 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 subordinator. Applications are made to the random partition generated by the lengths of excursions of a Brownian motion or Brownian bridge conditioned on its local time at zero.

@misc{arXiv:math.PR/0210396, abstract = {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 subordinator. Applications are made to the random partition generated by the lengths of excursions of a Brownian motion or Brownian bridge conditioned on its local time at zero.}, added-at = {2008-01-25T05:29:59.000+0100}, arxiv = {arXiv:math.PR/0210396}, author = {Pitman, Jim}, biburl = {https://www.bibsonomy.org/bibtex/20e76325fa21196ac8f4b1996a7a0e572/pitman}, interhash = {394307d425da6cdd70be8fda0a532a2b}, intrahash = {0e76325fa21196ac8f4b1996a7a0e572}, keywords = {author_pitman_from_arxiv}, timestamp = {2008-01-25T05:33:08.000+0100}, title = {{Poisson-Kingman partitions.}}, url = {http://arxiv.org/abs/math.PR/0210396}, year = 2002 }