Unbiased Modified Two-Parameter Estimator for the Linear Regression Model

Authors

  • A. O. Abidoye Department of Statistics, Univesity of Ilorin, Ilorin, Kwara State, Nigeria
  • I. M. Ajayi Department of Social and Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria
  • F. L. Adewale Department of Social and Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria
  • J. O. Ogunjobi Department of Social and Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria

Abstract

This study centers on estimating parameters in a linear regression model in the presence of multicollinearity. Multicollinearity poses a threat to the efficiency of the Ordinary Least Squares (OLS) estimator. Some alternative estimators have been developed as remedial measures to the earlier mentioned problem. This study introduces a new unbiased modified two-parameter estimator based on prior information. Its properties are also considered; the new estimator was compared with other estimators’ Mean Square Error (MSE). A numerical example and Monte Carlo simulation were used to illustrate the performance of the new estimator.

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Published

2022-09-01

Issue

Vol. 14 No. 3 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.

How to Cite

Abidoye, A. O. (2022). Unbiased Modified Two-Parameter Estimator for the Linear Regression Model. Journal of Scientific Research, 14(3), 785-795. https://doi.org/10.3329/jsr.v14i3.58234