New difference-based estimator of parameters in semiparametric regression models
The paper introduces a new difference-based Liu estimator (Ldiff)=([Xtilde][Xtilde]+I)(1)([Xtilde][ytilde]+ (diff)) of the regression parameters in the semiparametric regression model, y=X+f+E. Difference-based estimator, (diff)=([Xtilde][Xtilde])(1)[Xtilde][ytilde] and difference-based Liu estimator are analysed and compared with respect to mean-squared error (mse) criterion. Finally, the performance of the new estimator is evaluated for a real data set. Monte Carlo simulation is given to show the improvement in the scalar mse of the estimator.
difference-based estimator semiparametric regression model liu estimator differencing estimator differencing matrix multicollinearity primary: 62g08 secondary:62j07