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On the consistency of posterior mixtures and its applications

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Publication:1175408
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DOI10.1214/aos/1176347986zbMath0741.62005OpenAlexW2038090835MaRDI QIDQ1175408

Somnath Datta

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1214/aos/1176347986

zbMATH Keywords

posterior meanmixing distributionasymptotic optimalityrisk functionBayes empirical Bayes rulescompact state-spaceconsistency of posterior mixturesempirical Bayes rulehyper- priorunknown prior


Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Empirical decision procedures; empirical Bayes procedures (62C12)


Related Items

A conversation with James Hannan, Uniform \(L_{1}\) posterior consistency in compact Gaussian shift experiments, On construction of consistent mixing distributions for compound decisions, On topological support of Dirichlet prior, On the topological support of species sampling priors, Bounds for robust maximum likelihood and posterior consistency in compound mixture state experiments, Bayes compound and empirical Bayes estimation of the mean of a Gaussian distribution on a Hilbert space



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