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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.PR2026
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…