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Theory and Method

Limiting the Risk of Bayes and Empirical Bayes Estimators—Part I: The Bayes Case

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Pages 807-815 | Published online: 05 Apr 2012

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Lars Erik Gangsei, Trygve Almøy & Solve Sæbø. (2022) Linear regression with bivariate response variable containing missing data. Strategies to increase prediction precision. Communications in Statistics - Simulation and Computation 51:2, pages 527-538.
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S. J. Steel & D. W. Uys. (2011) A variable selection proposal for multiple linear regression analysis. Journal of Statistical Computation and Simulation 81:12, pages 2095-2105.
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WilliamE. Strawderman. (2000) Minimaxity. Journal of the American Statistical Association 95:452, pages 1364-1368.
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BradleyP. Carlin & ThomasA. Louis. (2000) Empirical Bayes: Past, Present and Future. Journal of the American Statistical Association 95:452, pages 1286-1289.
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Bradley Efron. (1996) Empirical Bayes Methods for Combining Likelihoods. Journal of the American Statistical Association 91:434, pages 538-550.
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MaryH. Mulry & BruceD. Spencer. (1993) Accuracy of the 1990 Census and Undercount Adjustments. Journal of the American Statistical Association 88:423, pages 1080-1091.
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Malay Ghosh. (1992) Constrained Bayes Estimation with Applications. Journal of the American Statistical Association 87:418, pages 533-540.
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Václav Fabian. (1991) On the Problem of Interactions in the Analysis of Variance. Journal of the American Statistical Association 86:414, pages 362-367.
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Michael D. Conerly & J. Michael Hardin. (1991) Shrunken estimators via a pitman nearness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3591-3604.
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Ming-Chung Yang. (1990) Compromise between generalized bayes and bayes estimators of poisson means under entropy loss. Communications in Statistics - Theory and Methods 19:3, pages 935-951.
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RobertW. Miller. (1989) Parametric Empirical Bayes Tolerance Intervals. Technometrics 31:4, pages 449-459.
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Lynn Kuo. (1989) Composite Estimation of Totals for Livestock Surveys. Journal of the American Statistical Association 84:406, pages 421-429.
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Shigetaka Miyazaki, George Judge & Thomas Yancey. (1986) Estimation of Location Parameters Under Nonnormal Errors and Quadratic Loss. Journal of Business & Economic Statistics 4:2, pages 263-268.
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Jean-Francois Angers & James O. Berger. (1986) The stein effect and bayesian analysis: a reexamination. Communications in Statistics - Theory and Methods 15:7, pages 2005-2023.
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James Berger. (1982) Bayesian Robustness and the Stein Effect. Journal of the American Statistical Association 77:378, pages 358-368.
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RonaldA. Thisted & WilliamE. Wecker. (1981) Predicting a Multitude of Time Series. Journal of the American Statistical Association 76:375, pages 516-523.
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RobertE. Fay$suffix/text()$suffix/text() & RogerA. Herriot. (1979) Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data. Journal of the American Statistical Association 74:366a, pages 269-277.
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GeorgeP. McCabe. (1978) Evaluation of Regression Coefficient Estimates Using α-Acceptability. Technometrics 20:2, pages 131-139.
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A.P. Dempster, Martin Schatzoff & Nanny Wermuth. (1977) A Simulation Study of Alternatives to Ordinary Least Squares. Journal of the American Statistical Association 72:357, pages 77-91.
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Bradley Efron & Carl Morris. (1975) Data Analysis Using Stein's Estimator and its Generalizations. Journal of the American Statistical Association 70:350, pages 311-319.
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StephenE. Fienberg & PaulW. Holland. (1973) Simultaneous Estimation of Multinomial Cell Probabilities. Journal of the American Statistical Association 68:343, pages 683-691.
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. (1973) Book Reviews. Journal of the American Statistical Association 68:341, pages 235-248.
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DanielL. Solomon. (1972) Λ-Minimax Estimation of a Multivariate Location Parameter. Journal of the American Statistical Association 67:339, pages 641-646.
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Bradley Efron & Carl Morris. (1972) Limiting the Risk of Bayes and Empirical Bayes Estimators—Part II: The Empirical Bayes Case. Journal of the American Statistical Association 67:337, pages 130-139.
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