Extension of the Stein Estimating Procedure through the Use of Estimating Functions

References

• Breslow , N. E. 1984 . Extra-Poisson Variation in Log-Linear Models . Applied Statistics , 33 : 38 – 44 .
   Web of Science ®Google Scholar
• Breslow , N. E. and Day , N. E. 1975 . Direct Standardization and Multiplicative Models for Rates, With Reference to the Age Adjustment of Cancer Incidence and Relative Frequency Data . Journal of Chronic Disease , 28 : 289 – 303 .
   PubMedGoogle Scholar
• Clayton , D. and Kaldor , J. 1987 . Empirical Bayes Estimates of Age-Standardized Relative Risks for Use in Disease Mapping . Biometrics , 43 : 671 – 681 .
   PubMed Web of Science ®Google Scholar
• Copas , J. B. 1983 . Regression, Prediction and Shrinkage . Journal of the Royal Statistical Society , 45 : 311 – 354 . Ser. B
   Google Scholar
• Copas , J. B. 1987 . Cross Validation Shrinkage of Regression Predictor . Journal of the Royal Statistical Society , 49 : 175 – 183 . Ser. B
   Google Scholar
• Diaconis , P. and Ylvisaker , D. 1979 . Conjugate Priors for Exponential Families . The Annals of Statistics , 7 : 269 – 281 .
   Web of Science ®Google Scholar
• Efron , B. and Morris , C. 1973 . Stein's Estimation Rule and Its Competitors: An Empirical Bayes Approach . Journal of the American Statistical Association , 68 : 117 – 130 .
   Web of Science ®Google Scholar
• Ericson , W. A. 1969 . A Note on the Posterior Mean of a Population Mean . Journal of the Royal Statistical Society , 31 : 332 – 334 . Ser. B
   Google Scholar
• Fay , R. E. III and Herriot , R. A. 1979 . Estimate of Income for Small Places: An Application of James-Stein Procedures to Census Data . Journal of the American Statistical Association , 74 : 269 – 277 .
   Web of Science ®Google Scholar
• Ferreira , P. E. 1982 . Estimating Equations in the Presence of Prior Knowledge . Biometrika , 69 : 667 – 669 .
   Web of Science ®Google Scholar
• Godambe , V. P. 1960 . An Optimum Property of Regular Maximum Likelihood Equation . The Annals of Mathematical Statistics , 31 : 1208 – 1211 .
   Google Scholar
• Goldstein , M. 1975 . A Note on Some Bayesian Nonparametric Estimates . The Annals of Statistics , 3 : 736 – 740 .
   Web of Science ®Google Scholar
• Griffin , B. S. and Krutchkoff , R. G. 1971 . Optimal Linear Estimators: An Empirical Bayes Version With Application to the Binomial Distribution . Biometrika , 58 : 195 – 201 .
   Web of Science ®Google Scholar
• James , W. and Stein , C. Estimation With Quadratic Loss . Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 361 – 379 . Berkeley : University of California Press .
   Google Scholar
• Laird , N. M. and Louis , T. A. 1987 . Empirical Bayes Confidence Intervals Based on Bootstrap Samples . Journal of the American Statistical Association , 82 : 739 – 750 .
   Web of Science ®Google Scholar
• Lehmann , E. L. 1983 . Theory of Point Estimation , New York : John Wiley .
   Google Scholar
• Liang , K.-Y. and Zeger , S. L. 1988 . On the Use of Concordant Pairs in Matched Case-Control Studies . Biometrics , 44 : 1145 – 1156 .
   PubMed Web of Science ®Google Scholar
• Mantel , N. and Hankey , W. 1975 . The Odds Ratio of a 2 × 2 Contingency Table . The American Statistician , 29 : 143 – 145 .
   Web of Science ®Google Scholar
• Morris , C. N. 1983a . Parametric Empirical Bayes Inference: Theory and Applications . Journal of the American Statistical Association , 78 : 47 – 55 .
   Web of Science ®Google Scholar
• Morris , C. N. 1983b . Natural Exponential Families With Quadratic Variance Functions: Statistical Theory . The Annals of Statistics , 11 : 515 – 529 .
   Web of Science ®Google Scholar
• Robbins , H. An Empirical Bayes Approach to Statistics . Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 157 – 164 . Berkeley : University of California Press .
   Google Scholar
• Thomas , D. C. , Siemialycki , J. , Dewar , R. , Robins , J. , Goldberg , M. and Armstrong , B. G. 1985 . The Problem of Multiple Inference in Studies Designed to Generate Hypotheses . American Journal of Epidemiology , 122 : 1080 – 1095 .
   PubMed Web of Science ®Google Scholar
• Williams , D. A. 1982 . Extra-binomial Variation in Logistic Linear Models . Applied Statistics , 31 : 144 – 148 .
   Web of Science ®Google Scholar
• Zeger , S. L. , Liang , K.-Y. and Albert , P. S. 1988 . Models for Longitudinal Data: A Generalized Estimating Equation Approach . Biometrics , 44 : 1049 – 1060 .
   PubMed Web of Science ®Google Scholar