On Some Ridge Regression Estimators: An Empirical Comparisons

In ridge regression analysis, the estimation of the ridge parameter k is an important problem. Many methods are available for estimating such a parameter. This article reviewed and proposed some estimators based on Kibria (2003 Kibria , B. M. G. ( 2003 ). Performance of some new ridge regression estimators . Communications in Statistics—Theory and Methods 32 : 419 – 435 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) and Khalaf and Shukur (2005 Khalaf , G. , Shukur , G. ( 2005 ). Choosing ridge parameters for regression problems . A34 : 1177 – 1182 . [Google Scholar]). A simulation study has been made and mean squared error (MSE) criteria are used to compare the performances of the estimators. We observed that under certain conditions some of the proposed estimators performed well compared to the ordinary least squared (OLS) estimator and some existing popular estimators. Finally, a numerical example has been considered to illustrate the performance of the estimators.