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Journal of the American Statistical Association Volume 69, 1974 - Issue 345
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Theory and Method

A G1-Minimax Estimator for a Linear Combination of Binomial Probabilities

T. A. Derouen Graduate Program in Biostatistics, Tulane University, New Orleans, La., 70112, USA
&
Toby J. Mitchell Mathematics and Statistics Research Staff, Oak Ridge National Laboratory (operated by Union Carbide for the Atomic Energy Commission), Oak Ridge, Tenn., 37830, USA
Pages 231-233 | Received 01 Feb 1973, Published online: 05 Apr 2012

References

  • Blum , J. R. and Rosenblatt , J. 1967 . “On Partial a priori Information in Statistical Inference” . Annals of Mathematical Statistics , 38 December : 1671 – 8 .
  • Blyth , C. R. 1951 . “On Minimax Statistical Decision Procedures and Their Admissibility” . Annals of Mathematical Statistics , 22 March : 22 – 42 .
  • Cogburn , Robert . 1967 . “Stringent Solutions to Statistical Decision Problems” . Annals of Mathematical Statistics , 38 April : 447 – 63 .
  • Copas , J. B. 1972 . “Empirical Bayes Methods and the Repeated Use of a Standard” . Biometrika , 59 ( 2 ) : 349 – 59 .
  • Jackson , D. A. , O'Donovan , T. M. , Zimmer , W. J. and Deely , J. J. 1970 . “G2-Minimax Estimators in the Exponential Family” . Biometrika , 57 ( 2 ) : 439 – 43 .
  • Randies , R. H. and Hollander , M. 1971 . “T-Minimax Selection Procedures in Treatments Versus Control Problems” . Annals of Mathematical Statistics , 42 February : 330 – 41 .
  • Solomon , D. L. 1972 . “Λ-Minimax Estimation of a Multivariate Location Parameter” . Journal of the American Statistical Association , 67 September : 641 – 6 .
  • Solomon , D. L. 1972 . “Λ-Minimax Estimation of a Scale Parameter” . Journal of the American Statistical Association , 67 September : 647 – 9 .

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