Bayesian nonparametric estimation of the median. II: Asymptotic properties of the estimates

DOI10.1214/aos/1176349747zbMath0587.62071OpenAlexW2071300976MaRDI QIDQ1072291

Hani Doss

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1214/aos/1176349747

zbMATH Keywords

posterior distributionDirichlet process priordiscrete distributionfrequentist approachconsistency propertiesestimation of median

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Bayesian inference (62F15) Foundations and philosophical topics in statistics (62A01)

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Nonparametric Bayes and empirical Bayes estimation of the population median, with application in finite-population sampling ⋮ Estimation in Dirichlet random effects models ⋮ Bayesian empirical likelihood methods for quantile comparisons ⋮ Theory and computations for the Dirichlet process and related models: an overview ⋮ An inconsistent Bayes estimator in bivariated survival curve analysis ⋮ Nonparametric Bayesian modelling using skewed Dirichlet processes ⋮ Bayesian \(R\)-estimates in two-sample location models ⋮ Dirichlet process and its developments: a survey ⋮ Consistent semiparametric Bayesian inference about a location parameter. ⋮ Exponential posterior consistency via generalized Pólya urn schemes in finite semiparametric mixtures

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