%0 Journal Article
%T Small parts in the Bernoulli sieve
%A Alexander Gnedin
%A Alex Iksanov
%A Uwe Roesler
%J Mathematics
%D 2008
%I arXiv
%X Sampling 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.
%U http://arxiv.org/abs/0804.3052v1