Small parts in the Bernoulli sieve

Details Small parts in the Bernoulli sieve Small parts in the Bernoulli sieve

2008-04-18

arxiv.org/abs/0804.3052v1

Mathematics

Probability

conference paper

Scientific paper

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.

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