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Original Articles

A test statistic to choose between Liu-type and least-squares estimator based on mean square error criteria

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Pages 2081-2096 | Received 06 Apr 2011, Accepted 02 Jun 2012, Published online: 27 Jun 2012

References

  • Akdeniz , F. and Kaçıranlar , S. 1995 . On the almost unbiased generalized Liu estimator and unbiased estimation of the bias and MSE . Commun. Stat. Theory Methods , 24 : 1789 – 1797 .
  • Daniel , C. and Wood , F. S. 1980 . Fitting Equations to Data: Computer Analysis of Multifactor Data , 2 , New York : Wiley .
  • Ebegil , M. , Gökpınar , F. and Ekni , M. 2006 . A simulation study on some shrinkage estimators . Hacettepe J. Math. Stat. , 35 : 213 – 226 .
  • Farebrother , R. W. 1978 . A class of shrinkage estimators . J. R. Stat. Soc. B , 40 : 47 – 49 .
  • Gorman , J. W. and Toman , R. J. 1966 . Selection of variables for fitting equations to data . Technometrics , 8 : 27 – 51 .
  • Güler , H. and Kaçıranlar , S. 2009 . A comparison of mixed and ridge estimators of linear models . Commun. Stat. Simul. Comput. , 38 : 368 – 401 .
  • Hald , A. 1952 . Statistical Theory with Engineering Applications , New York : Wiley .
  • Hamaker , H. C. 1962 . On multiple regression analysis . Stat. Neerl. , 16 : 31 – 56 .
  • Hoerl , A. E. and Kennard , R. W. 1970 . Ridge regression: Biased estimation for non-orthogonalproblems . Technometrics , 12 : 55 – 67 .
  • Hoerl , A. E. , Kennard , R. W. and Baldwin , K. F. 1975 . Ridge regression: Some simulation . Commun. Stat. , 5 : 105 – 123 .
  • Johnson , N. L. and Kotz , S. 1970 . Distributions in Statistics , Vol. 1 , New York : Wiley .
  • Kaçıranlar , S. , Sakallıoğlu , S. , Akdeniz , F. , Styan , G. P.H. and Werner , H. J. 1999 . A new biased estimator in linear regression and a detailed analysis of the widely-analysed dataset on Portland cement . Sankhya Indian J. Stat. B , 61 : 443 – 459 .
  • Liski , E. P. 1982 . A test of the mean square error criterion for shrinkage estimators . Commun. Stat. Theory Methods , 11 : 543 – 562 .
  • Liski , E. P. 1983 . Choosing a shrinkage estimator – a test of the mean square error criterion . Proc. First Tampere Sem. Linear Models , : 245 – 262 .
  • Liu , K. 1993 . A new class of biased estimate in linear regression . Commun. Stat. Theory Methods , 22 : 393 – 402 .
  • Liu , K. 2003 . Using Liu-type estimator to combat collinearity . Commun. Stat. Theory Methods , 32 : 1009 – 1020 .
  • Liu , K. 2004 . More on Liu-type estimator in linear regression . Commun. Stat. Theory Methods , 33 : 2723 – 2733 .
  • Nomura , M. 1988 . On the almost unbiased ridge regression estimator . Commun. Stat. Simul. Comput. , 17 : 729 – 743 .
  • Patnaik , P. B. 1949 . The noncentral chi-square and F distributions and their applications . Biometrika , 36 : 202 – 232 .
  • Rao , C. R. 1976 . Estimation of parameters in a linear model . Ann. Stat. , 4 : 1023 – 1037 .
  • Sakallıoğlu , S. and Kaçıranlar , S. 2008 . A new biased estimator based on ridge estimator . Stat. Pap. , 49 : 669 – 689 .
  • Searle , S. R. 1982 . Matrix Algebra Useful for Statistics , New York : Wiley .
  • Woods , H. , Steinour , H. H. and Starke , H. R. 1932 . Effect of composition of Portland cement on heat evolved during hardening . Ind. Eng. Chem. , 24 : 1207 – 1214 .

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