Modified Liu-Type Estimator Based on (r − k) Class Estimator

Abstract

In this article, we introduced a new Liu-type estimator which includes the ordinary least squares estimator (OLS), ordinary ridge regression estimator (ORR), Liu estimator (LE), (k − d) class estimator, principal components regression (PCR) estimator, (r − d) class estimator, and (r − k) class estimator. Under some conditions, the performance of the proposed estimator is superior to the other estimators by using the scalar mean squares error criterion. A simulation study has been conducted to compare the performance of the estimators. Finally, a numerical example has been analyzed to illustrate the theoretical results of the article.