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 sub-
ordinator. 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.
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