Research Article


DOI :10.26650/ijmath.2023.00009   IUP :10.26650/ijmath.2023.00009    Full Text (PDF)

A New biased estimator and variations based on the Kibria Lukman Estimator

Kadri Ulas AkayEsra ErtanAli Erkoç

One of the problems encountered in linear regression models is called multicollinearity problem which is an approximately linear relationship between the explanatory variables. This problem causes the estimated parameter values to be highly sensitive to small changes in the data. In order to reduce the impact of this problem on the model parameters, alternative biased estimators to the ordinary least squares estimator have been proposed in the literature. In this study, we propose a new biased estimator that can be an alternative to existing estimators. The superiority of this estimator over other biased estimators is analyzed in terms of matrix mean squared error. In addition, two different Monte Carlo simulation experiments are carried out to examine the performance of the biased estimators under consideration. A numerical example is given to evaluate the performance of the proposed estimator against other biased estimators.


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APA

Akay, K.U., Ertan, E., & Erkoç, A. (2023). A New biased estimator and variations based on the Kibria Lukman Estimator. Istanbul Journal of Mathematics, 1(2), 74-85. https://doi.org/10.26650/ijmath.2023.00009


AMA

Akay K U, Ertan E, Erkoç A. A New biased estimator and variations based on the Kibria Lukman Estimator. Istanbul Journal of Mathematics. 2023;1(2):74-85. https://doi.org/10.26650/ijmath.2023.00009


ABNT

Akay, K.U.; Ertan, E.; Erkoç, A. A New biased estimator and variations based on the Kibria Lukman Estimator. Istanbul Journal of Mathematics, [Publisher Location], v. 1, n. 2, p. 74-85, 2023.


Chicago: Author-Date Style

Akay, Kadri Ulas, and Esra Ertan and Ali Erkoç. 2023. “A New biased estimator and variations based on the Kibria Lukman Estimator.” Istanbul Journal of Mathematics 1, no. 2: 74-85. https://doi.org/10.26650/ijmath.2023.00009


Chicago: Humanities Style

Akay, Kadri Ulas, and Esra Ertan and Ali Erkoç. A New biased estimator and variations based on the Kibria Lukman Estimator.” Istanbul Journal of Mathematics 1, no. 2 (May. 2024): 74-85. https://doi.org/10.26650/ijmath.2023.00009


Harvard: Australian Style

Akay, KU & Ertan, E & Erkoç, A 2023, 'A New biased estimator and variations based on the Kibria Lukman Estimator', Istanbul Journal of Mathematics, vol. 1, no. 2, pp. 74-85, viewed 18 May. 2024, https://doi.org/10.26650/ijmath.2023.00009


Harvard: Author-Date Style

Akay, K.U. and Ertan, E. and Erkoç, A. (2023) ‘A New biased estimator and variations based on the Kibria Lukman Estimator’, Istanbul Journal of Mathematics, 1(2), pp. 74-85. https://doi.org/10.26650/ijmath.2023.00009 (18 May. 2024).


MLA

Akay, Kadri Ulas, and Esra Ertan and Ali Erkoç. A New biased estimator and variations based on the Kibria Lukman Estimator.” Istanbul Journal of Mathematics, vol. 1, no. 2, 2023, pp. 74-85. [Database Container], https://doi.org/10.26650/ijmath.2023.00009


Vancouver

Akay KU, Ertan E, Erkoç A. A New biased estimator and variations based on the Kibria Lukman Estimator. Istanbul Journal of Mathematics [Internet]. 18 May. 2024 [cited 18 May. 2024];1(2):74-85. Available from: https://doi.org/10.26650/ijmath.2023.00009 doi: 10.26650/ijmath.2023.00009


ISNAD

Akay, KadriUlas - Ertan, Esra - Erkoç, Ali. A New biased estimator and variations based on the Kibria Lukman Estimator”. Istanbul Journal of Mathematics 1/2 (May. 2024): 74-85. https://doi.org/10.26650/ijmath.2023.00009



TIMELINE


Submitted17.11.2023
Accepted12.12.2023
Published Online18.12.2023

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