More on the Preliminary Test Estimator in Almost Unbiased Liu Regression

References

• Aitchison , J. , Silvey , D. ( 1958 ). Maximum likelihood estimation of parameter subject to restraints . Ann. Math. Statist. 29 : 813 – 828 .
   Google Scholar
• Anderson , T. W. ( 1984 ). An Introduction to Multivariate Statistical Analysis. , 2nd ed. New York : John Wiley .
   Google Scholar
• Akdeniz , F. , Erol , H. ( 2003 ). Mean squared error matrix comparisons of some biased estimator in linear regression . Commun. Statist. Theor. Meth. 32 ( 12 ): 2389 – 2413 .
   Web of Science ®Google Scholar
• Akdeniz , F. , Kaçıranlar , S. ( 1995 ). On the almost unbiased generalized Liu estimator and unbiased estimation of the bias and MSE . Commun. Statist. Theor. Meth. 24 : 1789 – 1797 .
   Web of Science ®Google Scholar
• Bancroft , T. A. ( 1944 ). On biased in estimation due to use of preliminary tests of significance . Ann. Math. Statist. 15 : 190 – 204 .
   Google Scholar
• Berndt , E. , Savin , N. E. ( 1977 ). Conflict among criteria for testing hypothesis in the multivariate linear regression model . Econometrica 45 : 1263 – 1278 .
   Web of Science ®Google Scholar
• Billah , B. , Saleh , A. K. Md. E. ( 2000 ). Performance of the PTE Based on the Conclicting W, LR and LM Tests in Regression Model . Advances on Methodological and Applied Aspects of Probability and Statistics. New York : Gordon and Breach Science Publishers .
   Google Scholar
• Evans , G. B. , Savin , N. E. (1982). Conflict among the criteria revisited; the W, LR and LM tests. Econometrica 50:737–748.
   Web of Science ®Google Scholar
• Groß , J. ( 2003 ). Restricted ridge estimation . Statist. Probab. Lett. 65 : 57 – 64 .
   Web of Science ®Google Scholar
• Hoerl , A. E. , Kennard , R. W. ( 1970 ). Ridge regression: biased estimation for non-orthogonal problems . Technometrics 12 : 55 – 68 .
   Web of Science ®Google Scholar
• Kaçıranlar , S. , Sakallioglu , S. , Akdeniz , F. , Styan , G. P. H. , Werner , H. J. ( 1999 ). A new biased estimator in linear regression and a detailed analysis of the widely-analysed dataset on Portland Cement . Sankhya. Ind. J. Statist. 61 ( B3 ): 443 – 459 .
   Google Scholar
• Kibria , B. M. G. ( 2004 ). Performance of the shrinkage preliminary test ridge regression estimators based on the conflicting of W, LR and LM tests . J. Statist. Computat. Simul. 74 ( 11 ): 793 – 810 .
   Web of Science ®Google Scholar
• Kibria , B. M. G. , Saleh , A. K. M. E. ( 2003 ). Preliminary test ridge regression estimators with student's t errors and conflicting test statistics . Metrika 59 : 105 – 124 .
   Web of Science ®Google Scholar
• Liu , K. ( 1993 ). A new class of biased estimate in linear regression . Commun. Statisti. Theor. Meth. 22 : 393 – 402 .
   Web of Science ®Google Scholar
• Rao , C. R. ( 1947 ). Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation . Proc. Cambridge Philosoph. Soc. 44 : 50 – 57 .
   Web of Science ®Google Scholar
• Sarkar , N. ( 1992 ). A new estimator combining the ridge regression and the restricted least squares methods of estimation . Commun. Statist. Theor. Meth. 21 : 1987 – 2000 .
   Web of Science ®Google Scholar
• Savin , N. B. ( 1976 ). Conflict among testing procedures in a linear regression model with autoregressive disturbances . Econometrica 44 : 1303 – 1315 .
   Web of Science ®Google Scholar
• Singh , B. , Chaubey , Y. P. , Dweivedi , T. D. ( 1986 ). An almost unbiased ridge estimator . Sankhya Ind. J. Statist. B ( 48 ): 342 – 346 .
   Google Scholar
• Wald , A. ( 1943 ). Tests of hypotheses concerning several parameters when the number of observations is large . Trans. Amer. Mathemat. Soc. 54 : 426 – 482 .
   Google Scholar
• Yang , H. , Xu , J. W. ( 2011 ). Preliminary test Liu estimators based on the conflicting W, LR and LM tests in a regression model with multivariate Student-t error . Metrika 73 : 275 – 292 .
   Web of Science ®Google Scholar