References
Berk, R. H. (1967). A special group structure and equivariant estimation,Ann. Math. Statist.,38, 1436–1445.
Graybill, F. A. (1961).An Introduction to Linear Statistical Models, Vol. I, McGraw-Hill Book Co., Inc., New York.
Hodges, J. L. and Lehmann, E. L. (1951). Some appliations of the Cramér-Rao inequality,Second Berkeley Symposium on Math. Statistics and Probability, Vol. I, 13–22.
Klotz, J. H., Milton, R. C. and Zacks, S. (1969). Mean square efficient estimators of variance components,Jour. Amer. Statist. Assoc.,64, 1383–1402.
Lehmann, E. L. and Scheffé, H. (1950). Completeness, similar regions and unbiased estimation, Part I,Sankhyā,10, 305–340.
Pratt, J. W. (1959). On the general concept of ‘In probability’,Ann Math Statist.,30, 549–558.
Stein, C. (1965). Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean,Ann. Inst. Statist. Math.,16, 155–160.
Stone, M. and Springer, B. G. F. (1965). A paradox involving quasi prior distributions,Biometrika,52, 623–627.
Tiao, G. C. and Tan, W. Y. (1965). Bayesian analysis of random-effect models in the analysis of variance, I. Posterior distribution of variance-components,Biometrika,52, 37–53.
Wijsman, R. A. (1967). Cross-sections or orbits and their applications to densities of maximal invariants,Fifth Berkeley Symposium on Math. Statist. and Probability, Vol. I, 389–400.
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Supported by a National Science Foundation Grant GP-9007.
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Zacks, S. Bayes equivariant estimators of variance components. Ann Inst Stat Math 22, 27–40 (1970). https://doi.org/10.1007/BF02506320
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DOI: https://doi.org/10.1007/BF02506320