Limiting Behaviour of Poisson-Dirichlet and Generalised Poisson-Dirichlet Distributions

Ross Maller, Soudabeh Shemehsavar

We derive large-sample and other limiting distributions of the ``frequency of frequencies'' vector, ${\mathbf{M}}_{\mathbf{n}}$, together with the number of species, $K_n$, in a Poisson-Dirichlet…