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Original Articles

Improvements over the james-stein estimator: A risk analysis

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Pages 117-126 | Received 14 Dec 1992, Published online: 20 Mar 2007

References

  • Baranchik , A.J. 1964 . “ Multiple Regression and Estimation of the Mean of a Multivariate Normal Distribution ” . In Technical Report No 51 , Stanford, California : Stanford University . Department of Statistics
  • Baranchik , A.J. 1970 . A family of minimax estimators of the mean of a multivariate normal distribution . Annals of Mathematical Statistics , 41 : 642 – 645 .
  • Brewster , J.E. and Zidex , J.V. 1974 . Improving on equivariant estimators . Annals of Statistics , 2 : 21 – 38 .
  • Brown , D. 1968 . Inadmissibility of the usual estimators of scale parameters in problems with unknown location and scale parameters . Annals of Mathematical Statistics , 39 : 29 – 48 .
  • Efron , B. and Morris , C. 1976 . Families of minimax estimators of a multivariate normal distribution . Annals of Statistics , 4 : 22 – 32 .
  • Guo , Y.Y. and Pal , N. 1992 . A sequence of improvements over the James-Stein estimator . Journal of Multivariate Analysis , 42 : 302 – 317 .
  • James , W. and Stein , C. . Estimation with quadratic loss . In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics & Probability . Vol. 1 , pp. 361 – 380 . Berkeley : University of California Press .
  • Kubokawa , T. 1991 . An approach to improving the James-Stein estimator . Journal of Multivariate Analysis , 36 : 121 – 126 .
  • Stein , C. . Inadmissibility of the usual estimator for the mean of a multivariate distribution . In Proceedings of the Third Berkeley Symposium on Mathematical Statistics & Probability . Vol. 1 , pp. 197 – 206 . Berkeley : University of California Press .
  • Stein , C. . Estimation of the Mean of a Multivariate Distribution . In Proceeding of Prague Symposium on Asymptotic Statistics . pp. 345 – 381 .
  • Stein , C. 1981 . Estimation of the Mean of a Multivariate Normal Distribution . Annals of Statistics , 9 : 1135 – 1151 .

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