4 papers · 1 filter
Precise Deviations for the Ewens-Pitman Model
Zhiqi Peng, Youzhou Zhou
In this paper, we derive an integral representation for the distribution of the number of types in the Ewens-Pitman model. Based on this representation, we also establish pre…
Integral representation of probabilities in Kingman coalescent
Youzhou Zhou
Kingman Coalescent was first proposed by Kingman [7] in population genetics to describe population's genealogical structure. Now it becomes a bench-mark model for coalescent proces…
Some Moderate Deviations for Ewens-Pitman Sampling Model
Youzhou Zhou
Ewens-Pitman model has been successfully applied to various fields including Bayesian statistics. There are four important estimators ,. I…
Limit Theorems Associated With The Pitman-Yor Process
Shui Feng, Fuqing Gao, Youzhou Zhou
The Pitman-Yor process is a random discrete measure. The random weights or masses follow the two-parameter Poisson-Dirichlet distribution with parameters . The paramet…