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Original Articles

Mean Squared Error Properties of Empirical Bayes Estimators in a Multivariate Random Effects General Linear Model

Pages 642-650 | Received 01 Apr 1984, Published online: 12 Mar 2012

References

  • Berger , J. 1980 . “A Robust Generalized Bayes Estimator and Confidence Region for a Multivariate Normal Mean” . The Annals of Statistics , 8 : 716 – 761 .
  • Bock , R. D. and Petersen , A. C. 1975 . “A Multivariate Correction for Attenuation” . Biometrika , 62 : 673 – 678 .
  • Brown , P. J. and Zidek , J. V. 1980 . “Adaptive Multivariate Ridge Regression” . The Annals of Statistics , 8 : 64 – 74 .
  • Dempster , A. P. , Rubin , D. B. and Tsutakawa , R. K. 1981 . “Estimation in Covariance Components Models” . Journal of the American Statistical Association , 76 : 341 – 353 .
  • Efron , B. and Morris , C. 1972 . “Empirical Bayes on Vector Observations: An Extension of Stein's Method” . Biometrika , 59 : 335 – 347 .
  • Efron , B. and Morris , C. 1976 . “Multivariate Empirical Bayes and Estimation of Covariance Matrices” . The Annals of Statistics , 4 : 22 – 32 .
  • Fearn , T. 1975 . “A Bayesian Approach to Growth Curves” . Biometrika , 62 : 89 – 100 .
  • Harville , D. 1976 . “Extension of the Gauss-Markov Theorem to Include the Estimation of Random Effects” . The Annals of Statistics , 4 : 384 – 395 .
  • Laird , N. M. and Ware , J. H. 1982 . “Random-Effects Models for Longitudinal Data” . Biometrics , 38 : 963 – 974 .
  • Morris , C. 1983 . “Parametric Empirical Bayes Inference: Theory and Applications” . Journal of the American Statistical Association , 78 : 47 – 55 .
  • Rao , C. R. 1965 . “The Theory of Least Squares When the Parameters Are Stochastic and Its Application to the Analysis of Growth Curves” . Biometrika , 52 : 447 – 458 .
  • Rao , C. R. 1975 . “Simultaneous Estimation of Parameters in Different Linear Models and Applications to Biometric Problems” . Biometrics , 31 : 545 – 554 .
  • Reinsel , G. 1984 . “Estimation and Prediction in a Multivariate Random Effects Generalized Linear Model” . Journal of the American Statistical Association , 79 : 406 – 414 .
  • Stein , C. M. 1981 . “Estimation of the Mean of a Multivariate Normal Distribution” . The Annals of Statistics , 9 : 1135 – 1151 .
  • Volund , A. 1980 . “Multivariate Bioassay” . Biometrics , 36 : 225 – 236 .

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