Turkish Journal of Mathematics
Author ORCID Identifier
DÜNYA KARAPINAR: 0000-0001-5516-4780
MURAT POLAT : 0000-0003-0388-6030
NİMET ÖZBAY: 0000-0003-3840-3107
SELAHATTİN KAÇIRANLAR: 0000-0003-0678-7935
Abstract
This paper presents comparative results on the two-parameter weighted mixed estimator, which is a distinct class of estimator defined to address the problem of multicollinearity. The two-parameter weighted mixed estimator is a general estimator that includes the weighted mixed estimator, the weighted mixed Liu estimator, and the weighted mixed ridge estimator. Detailed comparisons among the mentioned estimators are carried out based on the matrix mean square error. Theoretical findings are supported by two numerical examples in addition to a Monte Carlo simulation study.
DOI
10.55730/1300-0098.3667
Keywords
Liu estimator, mean square error, ridge estimator, two parameter estimator, weighted mixed estimator
First Page
539
Last Page
554
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
KARAPINAR, D, POLAT, M, ÖZBAY, N, & KAÇIRANLAR, S (2026). Comparisons of some weighted mixed biased estimators for the linear regression model. Turkish Journal of Mathematics 50 (3): 539-554. https://doi.org/10.55730/1300-0098.3667
