2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159152Sampling from a random discrete distribution induced by a `stick-breaking' process is considered. Under a moment condition, it is shown that the asymptotics of the sequence of occupancy numbers, and of the small-parts counts (singletons, doubletons, etc) can be read off from a limiting model involving a unit Poisson point process and a self-similar renewal process on the halfline.conference paperProbabilitySmall parts in the Bernoulli sievetext