Estimation of the parameters in two linear models with some of the identical parameter vectors under the Pitman's closeness criterion

Two normal linear models for some of the identical parameters are discussed in this article. Many authors have studied the properties of estimators in two normal linear models for some of the identical parameters using mean squared error and mean squared error matrix criteria. In this article we give comparison between the estimators in two normal linear models with some identical parameters under Pitman's closeness criterion with known variances. It is noted that the estimators in two linear models with some identical parameters with known variances are superior over the estimators in single linear models with some identical parameters with known variances. Finally, the simulation is carried out to show that the theoretical results which we obtained in this study are aligned with different simulation conditions. The simulation results agree with our theoretical results.