Small parts in the Bernoulli sieve
Probability
2008-04-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0804.3052,
title = {Small parts in the Bernoulli sieve},
author = {Alexander Gnedin and Alex Iksanov and Uwe Roesler},
journal= {arXiv preprint arXiv:0804.3052},
year = {2008}
}
Comments
conference paper