7 papers
Analysis of a twisted Bose-Einstein Markov chain with applications to sampling Catalan structures
Ivan Z. Feng, J. E. Paguyo
We analyze a twisted Bose-Einstein Markov chain on arising from the Diaconis-Zhong twisted Burnside process. We derive explicit formulas for the transition kernel and stati…
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…
Limit distributions for cycles of random parking functions
J. E. Paguyo, Mei Yin
We study the asymptotic behavior of cycles of uniformly random parking functions. Our results are multifold: we obtain an explicit formula for the number of parking functions with…
Mixing times of a Burnside process Markov chain on set partitions
J. E. Paguyo
Let be a finite set and let be a finite group acting on . The group action splits into disjoint orbits. The Burnside process is a Markov chain on which has a uni…
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…
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…