  We prove a number of limiting distributions for statistics for unimodal
sequences of positive integers by adapting a probabilistic framework for
integer partitions introduced by Fristedt. The difficulty in applying the
direct analogue of Fristedt's techniques to unimodal sequences lies in the fact
that the generating function for partitions is an infinite product, while that
of unimodal sequences is not. Essentially, we get around this by conditioning
on the size of the largest part and working uniformly on contributing summands.
Our framework may be used to derive many distributions, and our results include
joint distributions for largest parts and multiplicities of small parts. We
discuss ranks as well. We further obtain analogous results for strongly
unimodal sequences.
