Convergence of de Finetti's mixing measure in latent structure models for observed exchangeable sequences

DOI10.1214/21-AOS2120MaRDI QIDQ2091819

Yun Wei, XuanLong Nguyen

Publication date: 2 November 2022

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05542

zbMATH Keywords

Fourier analysishierarchical modelsmixture of product distributionsinverse boundsmixtures of grouped observationsmixtures of repeated measurements

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Bayesian inference (62F15)

Related Items (1)

Bayesian Tree-Structured Two-Level Clustering for Nested Data Analysis

Cites Work

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• Asymptotic Behaviour of the Posterior Distribution in Overfitted Mixture Models
• Borrowing strengh in hierarchical Bayes: posterior concentration of the Dirichlet base measure
• Convergence rates of parameter estimation for some weakly identifiable finite mixtures
• École d'été de probabilités de Saint-Flour XIII - 1983
• Identifiability of parameters in latent structure models with many observed variables
• Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
• Nonparametric estimation of component distributions in a multivariate mixture
• Distribution theory for hierarchical processes
• An application of classical invariant theory to identifiability in nonparametric mixtures.
• Optimal rate of convergence for finite mixture models
• Weak convergence and empirical processes. With applications to statistics
• Convergence of latent mixing measures in finite and infinite mixture models
• On posterior contraction of parameters and interpretability in Bayesian mixture modeling
• Strong identifiability and optimal minimax rates for finite mixture estimation
• Optimal estimation of Gaussian mixtures via denoised method of moments
• Latent nested nonparametric priors (with discussion)
• An operator theoretic approach to nonparametric mixture models
• Posterior contraction of the population polytope in finite admixture models
• A Bayesian analysis of some nonparametric problems
• The Nested Dirichlet Process
• Estimating Component Cumulative Distribution Functions in Finite Mixture Models
• Hierarchical Dirichlet Processes
• Semiparametric Mixture Models and Repeated Measures: The Multinomial Cut Point Model
• Nonparametric inference in multivariate mixtures
• Almost Nonparametric Inference for Repeated Measures in Mixture Models
• Singularity Structures and Impacts on Parameter Estimation in Finite Mixtures of Distributions
• Identifiability of Mixtures of Product Measures
• Probabilistic Symmetries and Invariance Principles
• Fundamentals of Nonparametric Bayesian Inference
• Non-Parametric Estimation of Finite Mixtures from Repeated Measurements
• On strong identifiability and convergence rates of parameter estimation in finite mixtures

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