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REGRESSION AND LINEAR MODELS

On the Restricted Liu Estimator in the Gauss–Markov Model

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Pages 1713-1722 | Received 12 Aug 2005, Accepted 25 Jan 2006, Published online: 15 Feb 2007

References

  • Akdeniz , F. , Kaçiranlar , S. ( 2001 ). More on the new biased estimator in linear regression . Sankhya, Ser. B 63 : 321 – 325 .
  • Akdeniz , F. , Erol , H. , Öztürk , F. ( 1999 ). MSE comparisons of some biased estimators in linear regression model . J. Appl. Statist. Sci. 9 : 73 – 85 .
  • Baksalary , J. K. , Kala , R. ( 1983 ). Partial orderings between matrices one of which is of rank one . Bull. Pol. Acad. Sci. Math. 31 : 5 – 7 .
  • Goldberger , A. S. ( 1964 ). Ecomometrical Theory . New York : John Wiley .
  • Kaçiranlar , S. , Sakallioglu , S. , Akdeniz , F. , Styan , G. H. P. , Werner , H. J. ( 1999 ). A new biased estimator in linear regression and detailed analysis of the widely – analysed dataset on Portland cement . Sankhya, Ser. B 61 : 443 – 459 .
  • Kudô , A. , Ujiie , K. , Matsuo , N. ( 1992 ). On the comparisons of estimators in Gauss–Markov models (in Japanese) . In: Report on the Symposium of the Mathematical Society of Japan , Nagoya University , pp. 121 – 122 .
  • Kudô , A. , Ujiie , K. , Matsuo , N. ( 1993 ). On the restricted estimators in Gauss–Markov models (in Japanese) . In: Report on the Symposium of the Mathematical Society of Japan , Chuo University , pp. 55 – 56 .
  • Liu , K. J. ( 1993 ). A new class of biased estimate in linear regression . Commun. Statist. Ser. A 22 : 393 – 402 .
  • Sarkar , N. ( 1992 ). A new estimator combining the ridge regression and the restricted least squares methods of estimation . Commun. Statist. Ser. A 21 : 1987 – 2000 .
  • Stein , C. ( 1956 ). Inadmissibility of the usual estimator for the mean of a multivariate normal distribution . In: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 197 – 206 .
  • Toro-Viczarrondo , C. , Wallace , T. D. (1968). A test of the mean square error criterion for restrictions in linear regression. Amer. Statist. Asso. J. 63:558–572. [CROSSREF]
  • Trenkler , G. ( 1987 ). Mean square error martix comparisons among restricted least squares estimators . Sankhya, Ser. A 49 : 96 – 104 .
  • Ujiie , K. , Ishii , N. ( 2005 ). On the comparisons of estimators in Gauss–Markov models . Proc. School Sci. Tokai University 40 : 25 – 37 .

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