Asymptotic Behaviour of Poisson-Dirichlet Distribution and Dirichlet Process with Two-parameters
One-parameter Poisson-Dirichlet distribution and Dirichlet process arise in many context including Baysian statistics and population genetics. The two parameter counterparts are natural generalizations and represent the most general structure in certain sense. Asymptotic behaviour such as law of large numbers, fluctuations and large deviations will be presented in this talk. Also included will be a comparison to the corresponding results for the one-parameter models.