Results 11 to 20 of about 551 (134)

Kibria–Lukman Hybrid Estimator for Handling Multicollinearity in Poisson Regression Model: Method and Application

International Journal of Mathematics and Mathematical Sciences
The Poisson regression model (PRM) is a widely used statistical technique for analyzing count data. However, when explanatory variables in the model are correlated, the estimation of regression coefficients using the maximum likelihood estimator (MLE ...
Hleil Alrweili
doaj   +5 more sources

A New Ridge-Type Estimator for the Gamma Regression Model. [PDF]

Scientifica (Cairo), 2021
The known linear regression model (LRM) is used mostly for modelling the QSAR relationship between the response variable (biological activity) and one or more physiochemical or structural properties which serve as the explanatory variables mainly when ...
Lukman AF, Dawoud I, Kibria BMG, Algamal ZY, Aladeitan B.   +4 more
europepmc   +4 more sources

A New Ridge-Type Estimator for the Linear Regression Model: Simulations and Applications. [PDF]

Scientifica (Cairo), 2020
The ridge regression-type (Hoerl and Kennard, 1970) and Liu-type (Liu, 1993) estimators are consistently attractive shrinkage methods to reduce the effects of multicollinearity for both linear and nonlinear regression models.
Kibria BMG, Lukman AF.
europepmc   +3 more sources

An Alternative Estimator for Poisson–Inverse-Gaussian Regression: The Modified Kibria–Lukman Estimator

Algorithms
Poisson regression is used to model count response variables. The method has a strict assumption that the mean and variance of the response variable are equal, while, in practice, the case of overdispersion is common.
Rasha A. Farghali, Adewale F. Lukman, Zakariya Algamal, Murat Genc, Hend Attia   +4 more
doaj   +3 more sources

K-L Estimator: Dealing with Multicollinearity in the Logistic Regression Model

Mathematics, 2023
Multicollinearity negatively affects the efficiency of the maximum likelihood estimator (MLE) in both the linear and generalized linear models. The Kibria and Lukman estimator (KLE) was developed as an alternative to the MLE to handle multicollinearity ...
Adewale F. Lukman, B. M. Golam Kibria, Cosmas K. Nziku, Muhammad Amin, Emmanuel T. Adewuyi, Rasha Farghali   +5 more
doaj   +6 more sources

Handling Multicollinearity and Outliers in Logistic Regression Using the Robust Kibria–Lukman Estimator

Axioms
Logistic regression models encounter challenges with correlated predictors and influential outliers. This study integrates robust estimators, including the Bianco–Yohai estimator (BY) and conditionally unbiased bounded influence estimator (CE), with the ...
Adewale F. Lukman, Suleiman Mohammed, Olalekan Olaluwoye, Rasha A. Farghali   +3 more
doaj   +3 more sources

A New Kibria-Lukman-Type Estimator for Poisson Regression Models

Acta Infologica
One of the most important models for the analysis of count data is the Poisson Regression Model (PRM). The parameter estimates of the PRM are obtained by the Maximum Likelihood Estimator (MLE).
Cemal Çiçek, Kadri Ulaş Akay
doaj   +4 more sources

Quantile-based robust Kibria–Lukman estimator for linear regression model to combat multicollinearity and outliers: Real life applications using T20 cricket sports and anthropometric data

Kuwait Journal of Science
The performance of ordinary least squares (OLS) and ridge regression (RR) are influenced when outliers are present in y-direction with multicollinearity among independent variables. The robust RR with ridge parameters provides a biased estimator that has
Danish Wasim, M. Suhail, Sajjad Ahmad Khan, Maha Shabbir, Fuad A. Awwad, Emad A. A. Ismail, H. Ahmad, Amjad Ali   +7 more
doaj   +3 more sources

A new estimator for the multicollinear Poisson regression model: simulation and application. [PDF]

Sci Rep, 2021
The maximum likelihood estimator (MLE) suffers from the instability problem in the presence of multicollinearity for a Poisson regression model (PRM).
Lukman AF, Adewuyi E, Månsson K, Kibria BMG.   +3 more
europepmc   +4 more sources

Predictive Performance Evaluation of the Kibria-Lukman Estimator

WSEAS TRANSACTIONS ON MATHEMATICS, 2022
Regression models are commonly used in prediction, but their predictive performances may be affected by the problem called the multicollinearity.
I. Dawoud, M. Abonazel, E. T. Eldin
semanticscholar   +2 more sources