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On the lower bounds for mean square error of empirical Bayes estimators

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Publication:1947747
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DOI10.1007/BF02368737zbMath1284.62089MaRDI QIDQ1947747

M. Ya. Penskaya

Publication date: 26 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)



Mathematics Subject Classification ID

Bayesian inference (62F15) Empirical decision procedures; empirical Bayes procedures (62C12)


Related Items (1)

Adaptive nonparametric empirical Bayes estimation via wavelet series: the minimax study




Cites Work

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  • On the optimal rates of convergence for nonparametric deconvolution problems
  • Empirical Bayes estimation
  • Bayes empirical Bayes estimation for natural exponential families with quadratic variance functions
  • Empirical Bayes with rates and best rates of convergence in \(u(x)C(\Theta)exp(-x/{\Theta})\)-family: estimation case
  • Empirical Bayes estimation in Lebesgue-exponential families with rates near the best possible rate
  • Empirical Bayes estimation of the scale parameter in a Pareto distribution
  • Rates of risk convergence of empirical linear Bayes estimators
  • On Estimation of a Probability Density Function and Mode




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