Improved Penalty Strategies in Linear Regression Models

Abstract

We suggest pretest and shrinkage ridge estimation strategies for linear regression models. We investigate the asymptotic properties of suggested estimators. Further, a Monte Carlo simulation study is conducted to assess the relative performance of the listed estimators. Also, we numerically compare their performance with Lasso, adaptive Lasso and SCAD strategies. Finally, a real data example is presented to illustrate the usefulness of the suggested methods.

Keywords

• sub-model
• Full Model
• Pretest and Shrinkage Estimation
• Multicollinearity
• Asymptotic and Simulation