3 papers
math.PR2026
Limit Theorems for the Pitman-Yor Frequency Spectrum
Ross Arthur Maller, Soudabeh Shemehsavar
We derive a general distribution formula applicable to a wide variety of Gibbs-type partitions and use it to obtain large sample results for linear combinations of the component fr…
stat.ME2024
A Gibbs Sampling Scheme for a Generalised Poisson-Kingman Class
Robert C. Griffiths, Ross A. Maller, Soudabeh Shemehsavar
A Bayesian nonparametric method of James, Lijoi \& Prunster (2009) used to predict future values of observations from normalized random measures with independent increments is modi…
math.ST2023
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, , together with the number of species, , in a Poisson-Dirichlet…