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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.ST2020
Functional central limit theorems for stick-breaking priors
Yaozhong Hu, Junxi Zhang
We obtain the empirical strong law of large numbers, empirical Glivenko-Cantelli theorem, central limit theorem, functional central limit theorem for various nonparametric Bayesian…