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Original Articles

Choosing shrinkage estimators for regression problems

Pages 789-802 | Received 01 Sep 1975, Published online: 27 Jun 2007

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Read on this site (8)

Walter W. Piegorsch & A. John Bailer. (1993) Minimum mean-square error quadrature. Journal of Statistical Computation and Simulation 46:3-4, pages 217-234.
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S. James Press & John E. Rolph. (1986) Empirical bayes estimation of the mean in a multivariate normal distribution. Communications in Statistics - Theory and Methods 15:7, pages 2201-2228.
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SamuelD. Oman. (1982) Shrinking Towards Subspaces in Multiple Linear Regression. Technometrics 24:4, pages 307-311.
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Kamta Rai, V Susarla & John. Van Ryzin. (1980) Shrinkage estimation in nonparametric Bayesian survival analysis: a simulation study. Communications in Statistics - Simulation and Computation 9:3, pages 271-298.
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GeneH. Golub, Michael Heath & Grace Wahba. (1979) Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter. Technometrics 21:2, pages 215-223.
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Samuel D. Oman. (1978) A bayesiak comparison of some estimators used in linear regression with multicollinear data. Communications in Statistics - Theory and Methods 7:6, pages 517-534.
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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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Friedrich Pukelsheim. (1977) Equality of two blues and ridge-type estimates. Communications in Statistics - Theory and Methods 6:7, pages 603-610.
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Articles from other publishers (12)

José García‐Pérez, María del Mar López‐Martín, Catalina García‐García & Román Salmerón‐Gómez. (2020) A Geometrical Interpretation of Collinearity: A Natural Way to Justify Ridge Regression and Its Anomalies. International Statistical Review 88:3, pages 776-792.
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Lawrence D. Brown, Gourab Mukherjee & Asaf Weinstein. (2018) Empirical Bayes estimates for a two-way cross-classified model. The Annals of Statistics 46:4.
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Hermanus H. Lemmer. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Hermanus H. Lemmer. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Hermanus H. Lemmer. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
David Birkes & Yadolah Dodge. 1993. Alternative Methods of Regression. Alternative Methods of Regression 205 213 .
Walter W. Piegorsch & George Casella. (1989) The Early Use of Matrix Diagonal Increments in Statistical Problems. SIAM Review 31:3, pages 428-434.
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Fassii Nebebe & T. W. F. Stroud. (2016) Bayes and Empirical Bayes Shrinkage Estimation of Regression Coefficients: A Cross-Validation Study. Journal of Educational Statistics 13:3, pages 199-213.
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Fassil Nebebe & T. W. F. Stroud. (2008) Bayes and empirical Bayes shrinkage estimation of regression coefficients. Canadian Journal of Statistics 14:4, pages 267-280.
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Samuel D. Oman. (1984) A Different Empirical Bayes Interpretation of Ridge and Stein Estimators. Journal of the Royal Statistical Society Series B: Statistical Methodology 46:3, pages 544-557.
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. 1981. Parametric Statistical Inference. Parametric Statistical Inference 364 379 .
John E. Rolph, Albert P. Williams & Carolyn L. Lee. (2016) Medical School Admission and Residence of Applicants: Empirical Bayes Estimates of Logit Coffficients. Journal of Educational Statistics 4:4, pages 291-323.
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