Cited by 1,448Statistical Methods and Bayesian InferenceStatistical Methods and InferenceStatistical Distribution Estimation and Applications

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Parametric Empirical Bayes Inference: Theory and Applications

Morris, Carl N.·1983·Journal of the American Statistical Association

DOI 10.1080/01621459.1983.10477920

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Abstract

This article reviews the state of multiparameter shrinkage estimators with emphasis on the empirical Bayes viewpoint, particularly in the case of parametric prior distributions. Some successful applications of major importance are considered. Recent results concerning estimates of error and confidence intervals are described and illustrated with data.

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Cross validatory choice and assessment of statistical predictions
Stone, M. (1974) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1974.tb00994.x · Cited by 10,881
Journal of the Royal Statistical Society.
(1923) · The Economic Journal · doi:10.1093/ej/33.130.269 · Cited by 3,289
The Predictive Sample Reuse Method with Applications
Geisser, S. (1975) · Journal of the American Statistical Association · doi:10.1080/01621459.1975.10479865 · Cited by 2,748
Estimation with Quadratic Loss
James, W., & Stein, C. M. (1992) · Springer series in statistics · doi:10.1007/978-1-4612-0919-5_30 · Cited by 2,319
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data
Fay, R. E., & Herriot, R. A. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10482505 · Cited by 1,283
Stein's Estimation Rule and its Competitors—An Empirical Bayes Approach
Efron, B., & Morris, C. (1973) · Journal of the American Statistical Association · doi:10.1080/01621459.1973.10481350 · Cited by 981
Sampling and Bayes' Inference in Scientific Modelling and Robustness
Box, G. E. P. (1980) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2982063 · Cited by 905
Data Analysis Using Stein's Estimator and its Generalizations
Efron, B., & Morris, C. N. (1975) · Journal of the American Statistical Association · doi:10.1080/01621459.1975.10479864 · Cited by 863
An Empirical Bayes Approach to Statistics
Robbins, H. E. (1992) · Springer series in statistics · doi:10.1007/978-1-4612-0919-5_26 · Cited by 858

Show all 36 references

Research works printed but not linked: 8

Berger J., 1983, Robustness in Bayesian Statistics
Efron B., 1975, Advances in Mathematics, 16, 259
Gini C., 1911, Metron, 15, 133
Jackson D. A., 1970, Biometrika, 57, 439
Morris C., 1983, The Annals of Statistics, 11
Morris, C. and Van Slyke, L. “Empirical Bayes Methods for Pricing Insurance Classes,”. Proceedings of the Business and Economics Statistics Section. pp.579–582. American Statistical Association.
van der Merwe A. J., 1981, “Confidence Intervals for a Multivariate Normal Mean in the Case of Empirical Bayes Estimation Using Pearson Curves and Normal Approximations,”
Whitney, A. W. “The Theory of Experience Rating,”. Proceedings of the Casualty Actuarial Society. Vol. IV, pp.274–292.

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BackgroundResult
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Background
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Background
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Method
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Liao, J., McMurry, T. L., & Berg, A. S. (2013) · Biostatistics · doi:10.1093/biostatistics/kxt026 · Cited by 5
“Empirical Bayes analysis uses a working prior πp in place of π with the parameters in πp estimated from data z1, . . . , zn usually via maximum likelihood (Morris, 1983).”
Method
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Walsh, E., & Lipscomb, S. (2013) · Mathematica Policy Research Reports · Cited by 5
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Pereda‐Fernández, S. (2017) · Economica · doi:10.1111/ecca.12228 · Cited by 4
“Such estimates su er an estimation bias because of the incidental parameter problem, and some authors (Kane and Staiger (2008), Chetty et al. (2011) have used Morris (1983) method to correct for this bias.”
Estimation of classification probabilities in small domains accounting for nonresponse relying on imprecise probability
Omar, A., & Augustin, T. (2019) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2019.09.006 · Cited by 5
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Hierarchical modelling of power law processes for the analysis of repairable systems with different truncation times: An empirical Bayes approach
Reis, R. D. D., Colosimo, E., & Gilardoni, G. L. (2019) · Brazilian Journal of Probability and Statistics · doi:10.1214/18-bjps393 · Cited by 4
“We follow Guida, Calabria and Pulcini (1989), Oliveira, Colosimo and Gilardoni (2012) and Ryan, Hamada and Reese (2011) and parametrize the PLPs in terms of βi and ηi = Λi(τi) = (τi/θi) βi , mainly in view of the simplifications that result from (1.4) and the consequent orthogonality.”
BackgroundInfluential
Assessment of Primary Care Clinician Concordance With Guidelines for Use of Magnetic Resonance Imaging in Patients With Nonspecific Low Back Pain in the Veterans Affairs Health System
Barnett, P. G., Jacobs, J., Jarvik, J. G., Chou, R., Boothroyd, D. B., Lo, J., & Nevedal, A. (2020) · JAMA Network Open · doi:10.1001/jamanetworkopen.2020.10343 · Cited by 5
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Swanson, D. A. (2008) · Springer eBooks · doi:10.1007/978-1-4020-8329-7_10 · Cited by 5
“Finally, Swanson et al. (1994) note that an important theoretical development in the biased estimator/MSE approach is that it has been linked to Empirical Bayesian (EB) interpretations (Fay and Herriot 1979, Morris 1983a, 1983b, Prasad and Rao 1990, Reinsel 1985).”
Background
Multilevel influences on work attitudes: Organisational and individual predictors of pay satisfaction
Griffin, M. A. (1997) · Australian Psychologist · doi:10.1080/00050069708257380 · Cited by 5
An empirical Bayesian forecast in the threshold stochastic volatility models
Fan, T., & Wang, Y. (2011) · Journal of Statistical Computation and Simulation · doi:10.1080/00949655.2011.620251 · Cited by 5
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Beck, K., Gawrońska-Nowak, B., & Valdivieso, P. (2019) · Entrepreneurial Business and Economics Review · doi:10.15678/eber.2019.070201 · Cited by 5
“(Sidik & Jonkman, 2005a; 2005b) – ‘SJ’, the maximum-likelihood – ‘ML’ – and restricted maximum-likelihood estimator (Viechtbauer, 2005; Raudenbush, 2009) – ‘REML’, and the empirical Bayes estimator (Morris, 1983; Berkey et al., 1995) – ‘EB’.”

Authors: Morris, C. N.
Affiliations: The University of Texas at Austin (US)
Corresponding author: Morris, Carl N.
Venue: Journal of the American Statistical Association
Publisher: Informa UK Limited
Published: 1983-03
Volume: 78
Issue: 381
Pages: 47-55
ISSN: 0162-1459 (ISSN-L)
1537-274X
DOI: 10.1080/01621459.1983.10477920
OpenAlex: W1983607152
Cited by: 1,448
References: 36
Citations by year: 2026: 32 · 2025: 30 · 2024: 52 · 2023: 42 · 2022: 40 · 2021: 51 · 2020: 62 · 2019: 44 · 2018: 49 · 2017: 43 · 2016: 54 · 2015: 63 · 2014: 66 · 2013: 49 · 2012: 48
FWCI: 24.44
Type: journal article
Language: en
Open access: closed
Locations: Journal of the American Statistical Association (publishedVersion)
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
Keywords: parametric empirical Bayes, confidence intervals, shrinkage estimation

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Parametric Empirical Bayes Inference: Theory and Applications

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