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Theory and Method

Unbiasedness as the Dual of Being Bayes

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Pages 619-623 | Received 01 Jul 1982, Published online: 12 Mar 2012

References

  • Blackwell , D. and Girshick , M. A. 1954 . Theory of Games and Statistical Decisions , New York : John Wiley .
  • Bickel , Peter J. and Blackwell , D. 1967 . “A Note on Bayes Estimates,” . The Annals of Mathematical Statistics , 38 : 1907 – 1911 .
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  • Kitagawa , T. 1965 . “The Operational Calculus and Estimator of Functions of Parameters Admitting Sufficient Statistics,” . Bulletin of Mathematical Statistics , 6 : 95 – 108 .
  • Lehmann , E. L. 1951 . “A General Concept of Unbiasedness,” . The Annals of Mathematical Statistics , 22 : 587 – 592 .
  • Lindley , D. V. 1972 . Bayesian Statistics, A Review , Philadelphia : Society for Industrial and Applied Mathematics .
  • Peixoto , Julio L. 1982 . “Estimation of Random Effects in the Balanced One-Way Classification,” , Iowa State University, Department of Statistics . Unpublished Ph.D. Dissertation
  • Savage , Leonard J. 1954 . The Foundations of Statistics , New York : John Wiley .
  • Schützenberger , M. P. 1957 . “A Generalization of the Frêchet-Cramér Inequality to the Case of Bayes' Estimation” . Bulletin of the American Mathematical Society , 63 : 142 (abstract)
  • Tate , R. F. 1959 . “Unbiased Estimation: Functions of Location and Scale Parameters,” . Annals of Mathematical Statistics , 30 : 341 – 366 .

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