2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65432This 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.34 pagesProbabilityCombinatorics60G09 (Primary) 60J65, 60G51, 60E07, 05A18 (Secondary)text