Improved Liu-type estimator in partial linear model

In this article, a Liu-type estimation is proposed for the vector-parameter in a partial linear model. This new estimator can be regarded as generalization of the restricted least-squares estimator, the restricted ridge estimator and the restricted Liu estimator. We also obtain the asymptotic distributional bias and risk of these estimators and we also discuss some properties of the new estimator. The selection of the tuning parameter in the proposed estimator is also presented. Finally, a simulation study is presented to explain the performance of the new estimator.