Bayesian nonparametric predictive inference and bootstrap techniques

DOI10.1007/BF00052326zbMath1121.62542OpenAlexW1973352506MaRDI QIDQ1373256

Pietro Muliere, Piercesare Secchi

Publication date: 18 November 1997

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052326

zbMATH Keywords

Dirichlet processnonparametric predictive inferenceBootstrap techniques

Mathematics Subject Classification ID

Bayesian inference (62F15) Nonparametric statistical resampling methods (62G09)

Related Items (13)

Exact and approximate sum representations for the Dirichlet process ⋮ A consistent bayesian bootstrap for chi-squared goodness-of-fit test using a dirichlet prior ⋮ A general Bayesian bootstrap for censored data based on the beta-Stacy process ⋮ Weighted Bayesian bootstrap for scalable posterior distributions ⋮ An urn-based Bayesian block bootstrap ⋮ AN EXTENSION OF GENERALIZED BAYESIAN ENSEMBLE TREE MODELS TO SURVIVAL ANALYSIS ⋮ Bootstrap approximations for Bayesian analysis of \(Geo/G/1\) discrete-time queueing models. ⋮ Bayesian bootstraps for massive data ⋮ Theory and computations for the Dirichlet process and related models: an overview ⋮ Bayesian bootstrapping for symmetric distributions ⋮ Nonparametric Bayesian data analysis ⋮ Convergence rates and moments of Markov chains associated with the mean of Dirichlet processes. ⋮ Approximating distributions of random functionals of Ferguson-Dirichlet priors

Cites Work

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• A Bayesian bootstrap for a finite population
• Distribution functions of means of a Dirichlet process
• On a second-order asymptotic property of the Bayesian bootstrap mean
• Distributional results for random functionals of a Dirichlet process
• A characterization of the Dirichlet process
• Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
• Bootstrap methods: another look at the jackknife
• Ferguson distributions via Polya urn schemes
• A large sample study of the Bayesian bootstrap
• Prior distributions on spaces of probability measures
• A Bayesian analysis of some nonparametric problems
• Histospline smoothing the Bayesian bootstrap

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