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Original Articles

Characterization of minimax linear estimators in linear regression

Pages 19-26 | Received 01 Feb 1978, Published online: 27 Jun 2007

References

  • Hoerl , A.E. and Kennard , R.W. 1970 . Ridge regression:biased estimation for nonothogonal problems . Technometrics , 12 : 55 – 67 .
  • Hoffmann , K. 1977a . Robust alternatives of the least squares estimator . Math. Operaiionsforsch. Statist., Ser. Statistics , 8 : 305 – 311 .
  • Hoffmann , K. 1977b . Admissibility of linear estimators with respect to restricted parameter sets . Math. Operationsforsch. Statist., Ser. Statistics , 8 : 425 – 438 .
  • Hoffmann , K. 1978 . Zulässigkeit und Robustheit von linearen Schätzfunktion en im linearen Regressionsmodell Berlin Doctoral thesis submitted to the Academy of Sciences of the G.D.R
  • Läuter , H. 1975 . A minimax linear estimator for linear parameters under restrictions in form of inequalities . Math. Operationsforsch. Statist , 6 : 689 – 695 .
  • Rao , C.R. 1976 . Estimation of parameters in a linear model . Ann. Statist , 4 : 1023 – 1037 .
  • Petersen , I. 1973 . Linear minimax estimation for inadequate models in L 2-metric . Math. Operationsforsch. Statist , 4 : 463 – 471 .

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