Robust Linear Regression Estimation via Symlet Andrews Weighted Function for Outlier Detection

Hawkar Q. Birdawod; Zewar O. Ismael; Dlshad M. Saleh; Dashty I. Jamil

Article Details

Robust Linear Regression Estimation via Symlet Andrews Weighted Function for Outlier Detection

Authors:

Hawkar Q. Birdawod | Zewar O. Ismael | Dlshad M. Saleh | Dashty I. Jamil

Publisher:

Cihan University, Iraq

Journal:

Cihan University-Erbil Scientific Journal Vol.10 Issue 1, pp.80-86

Document Type:

Article

Publication Date:

10/2026

Document Language:

English

Document ID (Org No.):

2001837375

pISSN:

2707-6377

Keywords:

Abstract:

 This paper suggests a novel method for robust estimation in linear regression models by fusing the Andrews weighted function with Symlet wavelet analysis. The result is a new weighted function that includes the Symlet Andrews Weighted Function. These functions try to reduce the effect of outliers in regression analysis by giving data points with high residuals lower weights. The effectiveness of these new weighted functions was evaluated using simulated experiments, using the root mean square error (RMSE) as the standard. The results show that, in terms of RMSE values, the recommended weighted function consistently performs better than the traditional weighted function. This improvement suggests that because the new function can handle outlier data, they are more reliable for linear regression analysis, including problematic data.

Article Details

Robust Linear Regression Estimation via Symlet Andrews Weighted Function for Outlier Detection

Authors:

Hawkar Q. Birdawod | Zewar O. Ismael | Dlshad M. Saleh | Dashty I. Jamil

Publisher:

Cihan University, Iraq

Journal:

Cihan University-Erbil Scientific Journal Vol.10 Issue 1, pp.80-86

Document Type:

Article

Publication Date:

10/2026

Document Language:

English

Document ID (Org No.):

2001837375

pISSN:

2707-6377

symlet wavelet

Andrews weighted function

Robust estimation

Outliers

Linear regression.

Issues

Article Details

Robust Linear Regression Estimation via Symlet Andrews Weighted Function for Outlier Detection

Authors: Hawkar Q. Birdawod | Zewar O. Ismael | Dlshad M. Saleh | Dashty I. Jamil

Publisher: Cihan University, Iraq

Journal: Cihan University-Erbil Scientific Journal Vol.10 Issue 1, pp.80-86

Document Type: Article

Publication Date: 10/2026

Document Language: English

Document ID (Org No.): 2001837375

pISSN: 2707-6377

symlet wavelet

Andrews weighted function

Robust estimation

Outliers

Linear regression.

Issues

Authors:

Hawkar Q. Birdawod | Zewar O. Ismael | Dlshad M. Saleh | Dashty I. Jamil

Publisher:

Cihan University, Iraq

Journal:

Cihan University-Erbil Scientific Journal Vol.10 Issue 1, pp.80-86

Document Type:

Article

Publication Date:

10/2026

Document Language:

English

Document ID (Org No.):

2001837375

pISSN:

2707-6377