Quantile-based robust ridge m-estimator for linear regression model in presence of multicollinearity and outliers. Issue 11 (2nd November 2021)

• Record Type: Journal Article
• Authors: Suhail, Muhammad; Chand, Sohail; Kibria, B. M. Golam
• Is Part Of: Communications in statistics. Volume 50:Issue 11(2021)
• Page Start: 3194
• Page End: 3206
• Publication Date: 2021-11-02
• Subjects: Multicollinearity -- m-estimator -- MSE -- outliers -- ridge regression; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2019.1621339
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: In linear regression model, the ordinary least square and ridge regression estimators are sensitive to outliers in y-direction. In this article, we proposed two new robust quantile-based ridge and ridge m-estimators (QR and QRM) to deal with multicollinearity and outliers in y-direction. A simulation study has been conducted to compare the performance of the estimators. Based on mean square error criterion, it is shown that QR and QRM estimators outperform other considered estimators in many evaluated instances. An application is given to illustrate the performance of proposed estimators.