Latent nested nonparametric priors (with discussion)

DOI10.1214/19-BA1169zbMath1436.62108arXiv1801.05048OpenAlexW2963454293MaRDI QIDQ2290717

David B. Dunson, Federico Camerlenghi, Igor Prünster, Antonio Lijoi, Abel Rodríguez

Publication date: 29 January 2020

Published in: Bayesian Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05048

zbMATH Keywords

heterogeneityBayesian nonparametricsmixture modelscompletely random measuresnested processesdependent nonparametric priors

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Random measures (60G57)

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Uses Software

• shallot

Cites Work

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• Dynamic density estimation with diffusive Dirichlet mixtures
• Two-sample Bayesian nonparametric hypothesis testing
• Bayesian inference with dependent normalized completely random measures
• Nonparametric Bayes classification and hypothesis testing on manifolds
• Functional clustering in nested designs: modeling variability in reproductive epidemiology studies
• Spatial product partition models
• Bayesian semiparametric inference for multivariate doubly-interval-censored data
• Distributional results for means of normalized random measures with independent increments
• A Bayesian nonparametric approach to testing for dependence between random variables
• Distribution theory for hierarchical processes
• Exchangeable and partially exchangeable random partitions
• Convergence of latent mixing measures in finite and infinite mixture models
• Latent nested nonparametric priors (with discussion)
• Posterior contraction of the population polytope in finite admixture models
• Nonparametric Bayesian models through probit stick-breaking processes
• The Nested Dirichlet Process
• Nonparametric Bayes Conditional Distribution Modeling With Variable Selection
• Bayesian Nonparametric Nonproportional Hazards Survival Modeling
• The Representation of Partition Structures
• Coupling Optional Pólya Trees and the Two Sample Problem
• Hierarchical Dirichlet Processes
• 10.1162/jmlr.2003.3.4-5.993
• A Method for Combining Inference Across Related Nonparametric Bayesian Models
• Estimating normal means with a conjugate style dirichlet process prior
• Latent Stick-Breaking Processes
• Compound Random Measures and their Use in Bayesian Non-Parametrics
• Probabilistic Multi-Resolution Scanning for Two-Sample Differences
• An ANOVA Model for Dependent Random Measures
• Comparing Distributions by using Dependent Normalized Random-Measure Mixtures
• Bayesian Nonparametric Spatial Modeling With Dirichlet Process Mixing
• Order-Based Dependent Dirichlet Processes