A new class of minimax generalized Bayes estimators of a normal variance

DOI10.1016/j.jspi.2005.05.005zbMath1104.62005OpenAlexW1998742120MaRDI QIDQ2500642

Yuzo Maruyama, William E. Strawderman

Publication date: 17 August 2006

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2005.05.005

zbMATH Keywords

minimaxitygeneralized Bayesestimation of normal variance

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Minimax procedures in statistical decision theory (62C20)

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Cites Work

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• Minimax estimation of powers of the variance of a normal population under squared error loss
• Tail minimaxity in location vector problems and its applications
• Estimation of a normal variance -- a critical review
• A unified approach to improving equivariant estimators
• Improved minimax estimation of powers of the variance of a multivariate normal distribution under the entropy loss function
• Improving on equivariant estimators
• Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean
• Limiting the Risk of Bayes and Empirical Bayes Estimators--Part II: The Empirical Bayes Case