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On Rates of Convergence for Posterior Distributions Under Misspecification

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Publication:3391835
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DOI10.1080/03610920802478375zbMath1167.62045arXivmath/0702126OpenAlexW2026883498MaRDI QIDQ3391835

Heng Lian

Publication date: 13 August 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702126

zbMATH Keywords

supermartingalesBayesian nonparametricsprior misspecificationalpha covering


Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15)


Related Items

Bayesian Distributionally Robust Optimization, Dynamics of Bayesian updating with dependent data and misspecified models, Consistency of Posterior Distributions for Heteroscedastic Nonparametric Regression Models



Cites Work

  • On rates of convergence for posterior distributions in infinite-dimensional models
  • On the consistency of Bayes estimates
  • Information-theoretic determination of minimax rates of convergence
  • New approaches to Bayesian consistency
  • Convergence rates of posterior distributions.
  • Rates of convergence of posterior distributions.
  • Misspecification in infinite-dimensional Bayesian statistics
  • On sufficient conditions for Bayesian consistency
  • On Bayes procedures
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