Performance of the shrinkage preliminary test ridge regression estimators based on the conflicting of W, LR and LM tests

References

• Ahmed , SE , Volodin , AI and Joarder , AH . (2002) . Pretest estimation of eigenvalues of a Wishart matrix . International Mathematical Journal , 1 ( 3 ) : 259 – 272 .
   Google Scholar
• Anderson TW (1984) An Introduction to Multivariate Statistical Analysis 2nd ed. John Wiley NY
   Google Scholar
• Bancroft , TA . (1944) . On biases in estimation due to use of preliminary tests of significance . Annals of Mathematics and Statistics , 15 : 190 – 204 .
   Google Scholar
• Bancroft , TA . (1964) . Analysis and inference for incompletely specified models involving the use of preliminary test(s) of significance . Biometrics , 20 : 427 – 442 .
   Web of Science ®Google Scholar
• Berndt , E and Savin , NE . (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 AK Md. Saleh E (2000) Performance of the PTE based on the conflicting W, LR and LM tests in regression model In: Balakrishrian, N. (Ed.), Advances on Methodological and Applied Aspects of Probability and Statistics, Gordon and Breach Science Publishers
   Google Scholar
• Evans , GBA and Savin , NE . (1982) . Conflict among the criteria revisited; the W, LR and LM tests . Econometrica , 50 : 737 – 748 .
   Web of Science ®Google Scholar
• Giles , AJ . (1991) . Pretesting for linear restrictions in a regression model with spherically symmetric distributions . J. Econometrics , 50 : 377 – 398 .
   Web of Science ®Google Scholar
• Haq , MS and Kibria , BMG . (1996) . A shrinkage estimator for the restricted linear regression model: Ridge regression approach . Journal of Applied Statistical Science , 3 : 301 – 306 .
   Google Scholar
• Han , C-P and Bancroft , TA . (1968) . On pooling means when variance is unknown . Journal of the American Statistical Association , 153 : 1333 – 1342 .
   Google Scholar
• Hoerl , AE and Kennard , RW . (1970) . Ridge regression: Biased estimation for non-orthogonal problems . Technometrics , 12 : 55 – 67 .
   Web of Science ®Google Scholar
• James W Stein C (1961) Estimation with quadratic loss Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability 361 379
   Google Scholar
• Judge GG Bock ME (1978) The Statistical Implications of Pre-test and Stein-rule Estimators in Econometrics, North-Holland Publishing Company Amsterdam
   Google Scholar
• Kibria , BMG . (1996) . On preliminary test ridge regression estimators for linear restrictions in a regression model with non-normal disturbances . Communications in Statistics, A , 25 : 2349 – 2369 .
   Google Scholar
• Kibria , BMG and Ahmed , SE . (1997) . Shrinkage estimation for the multicollinear observations in a regression model with multivariate t distributions . Journal of Statistical Research , 31 ( 1 ) : 83 – 102 .
   Google Scholar
• Kibria , BMG and Saleh , AK Md. (1993) . Performance of shrinkage preliminary test estimator in regression analysis . Jahangirnagar Review, A , 17 : 133 – 148 .
   Google Scholar
• Kibria BMG Saleh AK Md. (2003) Effect of W, LR, and LM tests on the performance of preliminary test ridge regression estimators Journal of the Japan Statistical Society 33 (to appear)
   Google Scholar
• Rao , CR . (1947) . Large sample tests of statistical hypothesis concerning several parameters . Proceedings of the Cambridge Philosophical Society , 44 : 50 – 57 .
   Web of Science ®Google Scholar
• Rao , CR and Mukerjee , R . (1977) . Comparison of LR, score and Wald tests in a non-ID setting . Journal of Multivariate Analysis , 60 : 99 – 110 .
   Google Scholar
• Saleh AK Md. Han C-P (1990) Shrinkage estimation in regression analysis Estadistica 40 63
   Google Scholar
• Saleh , AK Md. and Kibria , BMG . (1993) . Performances of some new preliminary test ridge regression estimators and their properties . Communications in Statistics, A , 22 : 2747 – 2764 .
   Google Scholar
• Sarkar , N . (1992) . A new estimator combining the ridge regression and the restricted least squares method of estimation . Communications in Statistics, A , 21 : 1987 – 2000 .
   Google Scholar
• Savin , NB . (1976) . Conflict among testing procedures in a linear regression model with autoregressive disturbances . Econometrica , 44 : 1303 – 1315 .
   Web of Science ®Google Scholar
• Sen , PK and Saleh , AK Md. E. (1987) . On preliminary test and shrinkage M-estimation in linear models . Annals of Statistics , 15 : 1580 – 1592 .
   Web of Science ®Google Scholar
• Ullah , A and Zinde-Walsh , V . (1984) . On the robustness of LM, LR and W tests in regression model . Econometrica , 52 : 1055 – 1066 .
   Web of Science ®Google Scholar