3 papers
math.PR2026
Central limit theorem for the homozygosity of the hierarchical Pitman-Yor process
Shui Feng, J. E. Paguyo
The hierarchical Pitman-Yor process is a discrete random measure used as a prior in Bayesian nonparametrics. It is motivated by the study of groups of clustered data exhibiting pow…
math.PR2025
Central limit theorems associated with the hierarchical Dirichlet process
Shui Feng, J. E. Paguyo
The hierarchical Dirichlet process is a discrete random measure used as a prior in Bayesian nonparametrics and motivated by the study of groups of clustered data. We study the asym…
math.PR2025
Asymptotic behavior of clusters in hierarchical species sampling models
Stefano Favaro, Shui Feng, J. E. Paguyo
Consider a sample of size from a population governed by a hierarchical species sampling model. We study the large asymptotic behavior of the number of clusters…