Bernstein-von Mises theorem for the Pitman-Yor process of nonnegative type

DOI10.1214/22-EJS2077MaRDI QIDQ2106781

S. E. M. P. Franssen, Aad W. van der Vaart

Publication date: 19 December 2022

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.06059

zbMATH Keywords

weak convergenceempirical BayesBernstein-von Mises theoremPitman-Yor processspecies samplingcredible set

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Cites Work

• Size-biased sampling of Poisson point processes and excursions
• The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
• Distribution theory for hierarchical processes
• Prior distributions on spaces of probability measures
• Weak convergence and empirical processes. With applications to statistics
• Stochastic approximations to the Pitman-Yor process
• Latent nested nonparametric priors (with discussion)
• An asymptotic analysis of a class of discrete nonparametric priors
• Impact of Model Choice on LR Assessment in Case of Rare Haplotype Match (Frequentist Approach)
• Asymptotic Statistics
• Gibbs Sampling Methods for Stick-Breaking Priors
• Random discrete distributions invariant under size-biased permutation
• Fundamentals of Nonparametric Bayesian Inference
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems
• Convergence of stochastic processes
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