Jackknife Kibria-Lukman M-Estimator: Simulation and Application

Autor: Segun L. Jegede, Adewale F. Lukman, Kayode Ayinde, Kehinde A. Odeniyi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Nigerian Society of Physical Sciences, Vol 4, Iss 2 (2022)
Druh dokumentu: article
ISSN: 2714-2817
2714-4704
DOI: 10.46481/jnsps.2022.664
Popis: The ordinary least square (OLS) method is very efficient in estimating the regression parameters in a linear regression model under classical assumptions. If the model contains outliers, the performance of the OLS estimator becomes imprecise. Multicollinearity is another issue that can reduce the performance of the OLS estimator. This study proposed the Robust Jackknife Kibria-Lukman (RJKL) estimator based on the M-estimator to deal with multicollinearity and outliers. We examine the superiority of the estimator over existing estimators using theoretical proofs and Monte Carlo simulations. We put the estimator to the test once more using real-world data. We observed that the estimator performs better than the existing estimators.
Databáze: Directory of Open Access Journals