Results 261 to 270 of about 212,322 (298)
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ON THE CONSISTENCY OF HIERARCHICAL BAYES ESTIMATORS
Statistics & Risk Modeling, 1996Summary: In considering Bayesian estimation of multivariate normal mean, \textit{G. S. Datta} and \textit{M. Ghosh} [J. Stat. Plann. Inference 29, No. 3, 229-243 (1991; Zbl 0756.62014)] proposed hierarchical Bayes estimators and studied their asymptotic optimality property. A conjecture was raised therein.
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Limiting the Risk of Bayes and Empirical Bayes Estimators--Part I: The Bayes Case
Journal of the American Statistical Association, 1971Abstract The first part of this article considers the Bayesian problem of estimating the mean, θ, of a normal distribution when the mean itself has a normal prior. The usual Bayes estimator for this situation has high risk if θ is far from the mean of the prior distribution.
Bradley Efron, Carl Morris
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Bayes and empirical Bayes estimation with errors in variables
Statistics & Probability Letters, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Shunpu, Karunamuni, Rohana J.
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Bayes estimation of a convex quadratic
Biometrika, 1973SUMMARY The estimation of a quadratic regression curve when the quadratic coefficient is known to be positive is treated by a Bayesian method. The method extends easily to deal with a general linear model under parameter constraints.
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Linear Bayes and Optimal Estimation
Annals of the Institute of Statistical Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ESTIMATES OF MULTIPLE POISSON MEANS: BAYES AND EMPIRICAL BAYES
Statistics & Risk Modeling, 1983Summary: For estimating multiple Poisson means, Bayes and empirical Bayes estimates are proposed. Such estimates, under suitable loss, sometimes dominate the usual maximum likelihood estimates. A study of the ''relative savings loss'' of such estimates as compared to maximum likelihood estimates is also made using a Bayesian viewpoint.
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Stein's positive part estimator and bayes estimator
Annals of the Institute of Statistical Mathematics, 1979Stein's positive part estimator forp normal means is known to dominate the M.L.E. ifp≧3. In this article by introducing some proirs we show that Stein's positive part estimator is posterior mode. We also consider the Bayes estimators (posterior mean) with respect to the same priors and show that some of them dominate M.L.E. and are admissible.
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On asymptotic optimality of bayes empirical bayes estimators
Communications in Statistics - Theory and Methods, 1987In an empirical Bayes decision problem, a prior distribution ≱ is placed on a one-dimensfonal family G of priors Gw, weΩ, to produce a Bayes empirical Bayes estimator, The asymptotic optimaiity of the Bayes estimator is established when the support of ≱ is Ω and the marginal distributions Hw have monotone likelihood ratio and continuous Kullback ...
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A Nonparametric Empirical Bayes Estimator
Biometrika, 1972Ergle, William D. +1 more
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Generalized Bayes Minimax Estimators of the Variance of a Multivariate Normal Distribution
Sankhya A, 2023Saralees Nadarajah
exaly

