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Parametric Empirical Bayes Inference: Theory and Applications

Pages 47-55 | Received 01 Aug 1982, Published online: 12 Mar 2012

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Ying-Ying Zhang, Yuan-Yu Zhang, Ze-Yu Wang, Ya Sun & Ji Sun. (2024) The empirical Bayes estimators of the variance parameter of the normal distribution with a conjugate inverse gamma prior under Stein’s loss function. Communications in Statistics - Theory and Methods 53:1, pages 170-200.
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Ya Sun, Ying-Ying Zhang & Ji Sun. (2022) The empirical Bayes estimators of the parameter of the uniform distribution with an inverse gamma prior under Stein’s loss function. Communications in Statistics - Simulation and Computation 0:0, pages 1-19.
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Erjia Cui, Andrew Leroux, Ekaterina Smirnova & Ciprian M. Crainiceanu. (2022) Fast Univariate Inference for Longitudinal Functional Models. Journal of Computational and Graphical Statistics 31:1, pages 219-230.
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Ji Sun, Ying-Ying Zhang & Ya Sun. (2021) The empirical Bayes estimators of the rate parameter of the inverse gamma distribution with a conjugate inverse gamma prior under Stein's loss function. Journal of Statistical Computation and Simulation 91:8, pages 1504-1523.
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Nurudeen A. Adegoke, Adam N. H. Smith, Marti J. Anderson & Matthew D. M. Pawley. (2021) MEWMA charts when parameters are estimated with applications in gene expression and bimetal thermostat monitoring. Journal of Statistical Computation and Simulation 91:1, pages 37-57.
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Ying-Ying Zhang, Ze-Yu Wang, Zheng-Min Duan & Wen Mi. (2019) The empirical Bayes estimators of the parameter of the Poisson distribution with a conjugate gamma prior under Stein's loss function. Journal of Statistical Computation and Simulation 89:16, pages 3061-3074.
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Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li. (2019) The empirical Bayes estimators of the mean and variance parameters of the normal distribution with a conjugate normal-inverse-gamma prior by the moment method and the MLE method. Communications in Statistics - Theory and Methods 48:9, pages 2286-2304.
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Gerd K. Rosenkranz. (2018) Empirical Bayes estimators in hierarchical models with mixture priors. Journal of Applied Statistics 45:16, pages 2958-2980.
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Changyu Shen, Xiaochun Li & Jaesik Jeong. (2016) Estimation of treatment effect in a subpopulation: An empirical Bayes approach. Journal of Biopharmaceutical Statistics 26:3, pages 507-518.
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Steven P. Reise. (2000) Using Multilevel Logistic Regression to Evaluate Person-Fit in IRT Models. Multivariate Behavioral Research 35:4, pages 543-568.
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Wei Shen & ThomasA. Louis. (1999) Empirical Bayes Estimation via the Smoothing by Roughening Approach. Journal of Computational and Graphical Statistics 8:4, pages 800-823.
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Ray Okafor. (1999) Using an empirical Bayes model to estimate currency exchange rate. Journal of Applied Statistics 26:8, pages 973-983.
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JonD. Cohen & Tao Jiang. (1999) Comparison of Partially Measured Latent Traits across Nominal Subgroups. Journal of the American Statistical Association 94:448, pages 1035-1044.
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Shunpu Zhang & Laisheng Wei. (1999) A note on the convergence rates for empirical bayes estimators of parameters in multiple-parameter exponential families. Communications in Statistics - Theory and Methods 28:6, pages 1273-1291.
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AdrianE. Raftery & JudithE. Zeh. (1998) Estimating Bowhead Whale Population Size and Rate of Increase from the 1993 Census. Journal of the American Statistical Association 93:442, pages 451-463.
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JamesG. Booth & JamesP. Hobert. (1998) Standard Errors of Prediction in Generalized Linear Mixed Models. Journal of the American Statistical Association 93:441, pages 262-272.
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Jingxian Chen & NozerD. Singpurwalla. (1996) The Notion of “Composite Reliability” and its Hierarchical Bayes Estimation. Journal of the American Statistical Association 91:436, pages 1474-1484.
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FranciscoJ. Samaniego & AndrewA. Neath. (1996) How to be a Better Bayesian. Journal of the American Statistical Association 91:434, pages 733-742.
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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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HarryF. Martz, PaulH. Kvam & LeeR. Abramson. (1996) Empirical Bayes Estimation of the Reliability of Nuclear-Power-Plant Emergency Diesel Generators. Technometrics 38:1, pages 11-24.
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GregM. Allenby, Lichung Jen & RobertP. Leone. (1996) Economic Trends and Being Trendy: The Influence of Consumer Confidence on Retail Fashion Sales. Journal of Business & Economic Statistics 14:1, pages 103-111.
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P. Lahiri & J.N. K. Rao. (1995) Robust Estimation of Mean Squared Error of Small Area Estimators. Journal of the American Statistical Association 90:430, pages 758-766.
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N.S. Altman & G. Casella. (1995) Nonparametric Empirical Bayes Growth Curve Analysis. Journal of the American Statistical Association 90:430, pages 508-515.
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L. Billard & M.R. Meshkani. (1995) Estimation of a Stationary Markov Chain. Journal of the American Statistical Association 90:429, pages 307-315.
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Paul Chiou. (1995) A pooling procedure for the exponential distribution. Communications in Statistics - Theory and Methods 24:2, pages 445-458.
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Zhaohai Li & ColinB. Begg. (1994) Random Effects Models for Combining Results from Controlled and Uncontrolled Studies in a Meta-Analysis. Journal of the American Statistical Association 89:428, pages 1523-1527.
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Jim Albert. (1994) Exploring Baseball Hitting Data: What about those Breakdown Statistics?. Journal of the American Statistical Association 89:427, pages 1066-1074.
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FranciscoJ. Samaniego & DanaM. Reneau. (1994) Toward a Reconciliation of the Bayesian and Frequentist Approaches to Point Estimation. Journal of the American Statistical Association 89:427, pages 947-957.
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MichaelD. Escobar. (1994) Estimating Normal Means with a Dirichlet Process Prior. Journal of the American Statistical Association 89:425, pages 268-277.
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Sander Greenland & Charles Poole. (1994) Empirical-Bayes and Semi-Bayes Approaches to Occupational and Environmental Hazard Surveillance. Archives of Environmental Health: An International Journal 49:1, pages 9-16.
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Partha Bagchi. (1994) Empirical Bayes estimation in directional data. Journal of Applied Statistics 21:4, pages 317-326.
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Hung Man Ngai & T.W.F. Stroud. (1994) Hierarchical bayes simultaneous estimation of poisson means. Communications in Statistics - Theory and Methods 23:10, pages 2965-2991.
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Wang-Shu Lu & Carl N. Morris. (1994) Estimation in the generalized linear empirical bayes model using the extended quasi-likelihood. Communications in Statistics - Theory and Methods 23:3, pages 661-687.
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T.E. Raghunathan. (1993) A Quasi-Empirical Bayes Method for Small Area Estimation. Journal of the American Statistical Association 88:424, pages 1444-1448.
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AlanE. Gelfand, SusanE. Hills, Amy Racine-Poon & AdrianF. M. Smith. (1990) Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling. Journal of the American Statistical Association 85:412, pages 972-985.
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Kung-Yee Liang & MyronA. Waclawiw. (1990) Extension of the Stein Estimating Procedure through the Use of Estimating Functions. Journal of the American Statistical Association 85:410, pages 435-440.
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AlanE. Gelfand & AdrianF. M. Smith. (1990) Sampling-Based Approaches to Calculating Marginal Densities. Journal of the American Statistical Association 85:410, pages 398-409.
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N.G. N. Prasad & J.N. K. Rao. (1990) The Estimation of the Mean Squared Error of Small-Area Estimators. Journal of the American Statistical Association 85:409, pages 163-171.
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BradleyP. Carlin & AlanE. Gelfand. (1990) Approaches for Empirical Bayes Confidence Intervals. Journal of the American Statistical Association 85:409, pages 105-114.
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Angela B. Mariotto. (1990) Sensitivity of bayes and empirical bayes estimates. Communications in Statistics - Theory and Methods 19:12, pages 4471-4484.
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D.P. Gaver, P.A. Jacobs & I.G. O'Muircheartaigh. (1990) Regression analysis of hierarchical poisson-like event rate data: superpopulation model effect on predictions. Communications in Statistics - Theory and Methods 19:10, pages 3779-3797.
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A.J. Van Der Merwe & C.A. Van Der Merwe. (1990) Exact-and approximate bayes credibility intervals for the one-way analysis of variance model. Communications in Statistics - Theory and Methods 19:7, pages 2541-2565.
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RobertW. Miller. (1989) Parametric Empirical Bayes Tolerance Intervals. Technometrics 31:4, pages 449-459.
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RobertL. Winkler. (1989) Comment. Journal of Business & Economic Statistics 7:4, pages 419-422.
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RobertE. Kass & Duane Steffey. (1989) Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models). Journal of the American Statistical Association 84:407, pages 717-726.
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JamesO. Berger & John Deely. (1988) A Bayesian Approach to Ranking and Selection of Related Means with Alternatives to Analysis-of-Variance Methodology. Journal of the American Statistical Association 83:402, pages 364-373.
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ThomasJ. Tomberlin. (1988) Predicting Accident Frequencies for Drivers Classified by Two Factors. Journal of the American Statistical Association 83:402, pages 309-321.
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RobertK. Tsutakawa. (1988) Mixed Model for Analyzing Geographic Variability in Mortality Rates. Journal of the American Statistical Association 83:401, pages 37-42.
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Daniel R. Jeske & David A. Harvallie. (1988) Prediction-interval procedures and (fixed-effects) confidence-interval procedures for mixed linear models. Communications in Statistics - Theory and Methods 17:4, pages 1053-1087.
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AdrianE. Raftery. (1987) Inference and Prediction for a General Order Statistic Model with Unknown Population Size. Journal of the American Statistical Association 82:400, pages 1163-1168.
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NanM. Laird & ThomasA. Louis. (1987) Empirical Bayes Confidence Intervals Based on Bootstrap Samples. Journal of the American Statistical Association 82:399, pages 739-750.
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I.R. James & M.W. Knuiman. (1987) An Application of Bayes Methodology to the Analysis of Diary Records from a Water Use Study. Journal of the American Statistical Association 82:399, pages 705-711.
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DonaldP. Gaver & I.G. O'Muircheartaigh. (1987) Robust Empirical Bayes Analyses of Event Rates. Technometrics 29:1, pages 1-15.
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James H. Albert. (1987) Empirical bayes estimation in contingency tables. Communications in Statistics - Theory and Methods 16:8, pages 2459-2485.
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Malay Ghosh & Glen Meeden. (1986) Empirical Bayes Estimation in Finite Population Sampling. Journal of the American Statistical Association 81:396, pages 1058-1062.
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. (1986) Letters to the Editor. The American Statistician 40:3, pages 255-258.
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EdwardI. George. (1986) Combining Minimax Shrinkage Estimators. Journal of the American Statistical Association 81:394, pages 437-445.
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JulioL. Peixoto & DavidA. Harville. (1986) Comparisons of Alternative Predictors under the Balanced One-Way Random Model. Journal of the American Statistical Association 81:394, pages 431-436.
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C.N. Morris. (1986) Comment. The American Statistician 40:1, pages 7-8.
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KennethH. Reckhow & CarlosM. Marin. (1986) EMPIRICAL BAYES ESTIMATION AND INFERENCE FOR THE PHOSPHORUS–CHLOROPHYLL RELATIONSHIP IN LAKES. Lake and Reservoir Management 2:1, pages 154-156.
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George Casella & Jiunn Tzon Hwang. (1986) Confidence sets and the stein effect. Communications in Statistics - Theory and Methods 15:7, pages 2043-2063.
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George Casella. (1985) Condition Numbers and Minimax Ridge Regression Estimators. Journal of the American Statistical Association 80:391, pages 753-758.
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GregoryC. Reinsel. (1985) Mean Squared Error Properties of Empirical Bayes Estimators in a Multivariate Random Effects General Linear Model. Journal of the American Statistical Association 80:391, pages 642-650.
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Glen Meeden & Stephen Vardeman. (1985) Bayes and Admissible Set Estimation. Journal of the American Statistical Association 80:390, pages 465-471.
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George Casella. (1985) An Introduction to Empirical Bayes Data Analysis. The American Statistician 39:2, pages 83-87.
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EugeneP. Ericksen & JosephB. Kadane. (1985) Estimating the Population in a Census Year 1980 and beyond. Journal of the American Statistical Association 80:389, pages 98-109.
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ThomasA. Louis. (1984) Estimating a Population of Parameter Values Using Bayes and Empirical Bayes Methods. Journal of the American Statistical Association 79:386, pages 393-398.
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DipakK. Dey & JamesO. Berger. (1983) On Truncation of Shrinkage Estimators in Simultaneous Estimation of Normal Means. Journal of the American Statistical Association 78:384, pages 865-869.
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SiuL. Hui & JamesO. Berger. (1983) Empirical Bayes Estimation of Rates in Longitudinal Studies. Journal of the American Statistical Association 78:384, pages 753-760.
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George Casella & Jiunn Tzon Hwang. (1983) Empirical Bayes Confidence Sets for the Mean of a Multivariate Normal Distribution. Journal of the American Statistical Association 78:383, pages 688-698.
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