The Performance of Some Restricted Estimators In Restricted Linear Regression Model

Bader Aboud Mohammed, Department of Mathematics, College of Education For Pure ScienceUniversity Of Anbar , Anbar, IraqFollow
Mustafa Ismaeel Naif, Department of Mathematics, College of Education For Pure ScienceUniversity Of Anbar , Anbar, Iraq

Document Type

Article

Abstract

In the linear regression model, the restricted biased estimation as one of important methods to addressing the high variance and the multicollinearity problems. In this paper, we make the simulation study of the some restricted biased estimators. The mean square error (MME) criteria are used to make a comparison among them. According to the simulation study we observe that, the performance of the restricted modified unbiased ridge regression estimator (RMUR) was proposed by Bader and Alheety (2020) is better than of these estimators. Numerical example have been considered to illustrate the performance of the estimators.

Keywords

Linear regression model, Restricted biased estimators, Mean square error, Multicollinearity, Simulation study .

Recommended Citation

Mohammed, Bader Aboud and Naif, Mustafa Ismaeel (2021) "The Performance of Some Restricted Estimators In Restricted Linear Regression Model," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 2 , Article 8.
Available at: https://doi.org/10.29350/qjps.2021.26.2.1287