activity
19982026
most citedAsymptotic behavior of the Poisson--Dirichlet distribution for large mutation rate

19 citations · 55 across the 21 of their papers we have counts for

collaborators

23 papers

math.PR2026

Dynamical models for the two-parameter Poisson-Dirichlet distribution and the Pitman-Yor process

Shui Feng, Wei Sun

In this paper, we introduce and study a family of diffusion processes associated with the Pitman-Yor process and the two-parameter Poisson-Dirichlet distribution. The diffusion coe…

math.ST2024

Large parameter asymptotic analysis for homogeneous normalized random measures with independent increments

Junxi Zhang, Shui Feng, Yaozhong Hu

Homogeneous normalized random measures with independent increments (hNRMIs) represent a broad class of Bayesian nonparametric priors and thus are widely used. In this paper, we obt…

math.PR2022

Hierarchical Dirichlet Process and Relative Entropy

Shui Feng

The Hierarchical Dirichlet process is a discrete random measure serving as an important prior in Bayesian non-parametrics. It is motivated with the study of groups of clustered dat…

math.PR2022★ 5 cited

Strategy-Driven Limit Theorems Associated Bandit Problems

Zengjing Chen, Shui Feng, Guodong Zhang

Motivated by the study of asymptotic behaviour of the bandit problems, we obtain several strategy-driven limit theorems including the law of large numbers, the large deviation prin…

math.PR2021

Large Deviations For Randomly Weighted Sums of Random Measures

Shui Feng

Let be a sequence of i.i.d. random probability measures. Independently, for each , let be a random vector of posi…

stat.ME2018

Bayesian nonparametric analysis of Kingman's coalescent

Stefano Favaro, Shui Feng, Paul A. Jenkins

Kingman's coalescent is one of the most popular models in population genetics. It describes the genealogy of a population whose genetic composition evolves in time according to the…