Robust Dawoud-Kibria estimator for handling multicollinearity and outliers in the linear regression model

In the linear regression model, least-squares (LS) estimator is usually used for estimating regression parameters. LS is an unreliable and unfavourable estimator when multicollinearity and outlier problems exist in the model. Therefore, we propose a new robust regression estimator for solving the ab...

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Bibliographic Details
Published in:Journal of statistical computation and simulation Vol. 91; no. 17; pp. 3678 - 3692
Main Authors: Dawoud, Issam, Abonazel, Mohamed R.
Format: Journal Article
Language:English
Published: Taylor & Francis 22.11.2021
Subjects:
Biased estimation
biasing parameter
multicollinearity
outliers
robust regression
ISSN:0094-9655, 1563-5163
Online Access:Get full text
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Summary:In the linear regression model, least-squares (LS) estimator is usually used for estimating regression parameters. LS is an unreliable and unfavourable estimator when multicollinearity and outlier problems exist in the model. Therefore, we propose a new robust regression estimator for solving the abovementioned problems simultaneously. We conducted theoretical comparisons and different scenarios of simulation studies, and a real-life dataset was employed to show the performance of the proposed estimator. Results showed that the proposed estimator performs better than other estimators when multicollinearity and outlier problems occur simultaneously in the model.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949655.2021.1945063