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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.ST2022
Large sample asymptotic analysis for normalized random measures with independent increments
Junxi Zhang, Yaozhong Hu
Normalized random measures with independent increments represent a large class of Bayesian nonaprametric priors and are widely used in the Bayesian nonparametric framework. In this…
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…