On Some Ridge Regression Estimators: An Empirical Comparisons

Abstract

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) and Khalaf and Shukur (2005). 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.

Keywords:

• Bias
• Estimation
• MSE
• Multicollinearity
• Ridge regression
• Simulation

Mathematics Subject Classification:

• 62J07
• 62F10

Acknowledgment

The authors are thankful to the referee for making constructive and valuable sugges-tions and comments that have greatly improved the presentation of the article.