2 papers
math.PR2025
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…
math.PR2024
Dual process in the two-parameter Poisson-Dirichlet diffusion
Robert C. Griffiths, Matteo Ruggiero, Dario Spanò +1
The two-parameter Poisson-Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two-parameter…