Statistics for unimodal sequences

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