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Improving the Ordinary Least Squares Estimator by Ridge Regression

DOI: 10.4236/oalib.1108738, PP. 1-8

Subject Areas: Mathematical Statistics

Keywords: OLS Estimator, Multicollinearity, Ridge Regression, Simulation

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Abstract

In the presence of multicollinearity, ridge regression techniques result in estimated coefficients that are biased but have smaller variance than Ordinary Least Squares estimators and may, therefore, have a smaller Mean Squares Error (MSE). The ridge solution is to supplement the data by stochastically shrinking the estimates toward zero. In this study, we propose a new estimator to reduce the effect of multicollinearity and improve the estimation. We show by a simulation study that the MSE of the suggested estimator is lower than other estimators of the ridge and the OLS estimators.

Cite this paper

Khalaf, G. (2022). Improving the Ordinary Least Squares Estimator by Ridge Regression. Open Access Library Journal, 9, e8738. doi: http://dx.doi.org/10.4236/oalib.1108738.

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