[HTML][HTML] Robust modified jackknife ridge estimator for the Poisson regression model with multicollinearity and outliers

KC Arum, FI Ugwuowo, HE Oranye - Scientific African, 2022 - Elsevier
The parameters in the Poisson regression model are usually estimated using the maximum
likelihood estimator (MLE). MLE suffers a breakdown when there is either multicollinearity or …

A new estimator for the multicollinear Poisson regression model: simulation and application

AF Lukman, E Adewuyi, K Månsson, BMG Kibria - Scientific Reports, 2021 - nature.com
The maximum likelihood estimator (MLE) suffers from the instability problem in the presence
of multicollinearity for a Poisson regression model (PRM). In this study, we propose a new …

[HTML][HTML] A new hybrid estimator for linear regression model analysis: Computations and simulations

GA Shewa, FI Ugwuowo - Scientific African, 2023 - Elsevier
The Linear regression model explores the relationship between a response variable and
one or more independent variables. The parameters in the model are often estimated using …

The KL estimator for the inverse Gaussian regression model

AF Lukman, ZY Algamal, BMG Kibria… - Concurrency and …, 2021 - Wiley Online Library
Multicollinearity poses an undesirable effect on the efficiency of the maximum likelihood
estimator (MLE) in both Gaussian and non‐Gaussian regression models. The ridge and the …

Modified ridge-type for the Poisson regression model: simulation and application

AF Lukman, B Aladeitan, K Ayinde… - Journal of Applied …, 2022 - Taylor & Francis
The Poisson regression model (PRM) is employed in modelling the relationship between a
count variable (y) and one or more explanatory variables. The parameters of PRM are …

A new adjusted Liu estimator for the Poisson regression model

M Amin, MN Akram, BMG Kibria - … and computation: Practice …, 2021 - Wiley Online Library
The Poisson regression model (PRM) is usually applied in the situations when the
dependent variable is in the form of count data. For estimating the unknown parameters of …

Combating multicollinearity: A new two-parameter approach

JI Idowu, OJ Oladapo, AT Owolabi, K Ayinde… - Nicel Bilimler …, 2023 - dergipark.org.tr
The ordinary least square (OLS) estimator is the Best Linear Unbiased Estimator (BLUE)
when all linear regression model assumptions are valid. The OLS estimator, however …

The modified Liu-ridge-type estimator: a new class of biased estimators to address multicollinearity

M Aslam, S Ahmad - Communications in Statistics-Simulation and …, 2022 - Taylor & Francis
This article proposes another general class of biased estimators which includes some
popular estimators as special cases and discusses its properties for multiple linear …

[HTML][HTML] Modified Kibria-Lukman (MKL) estimator for the Poisson Regression Model: application and simulation

BB Aladeitan, O Adebimpe, AF Lukman… - …, 2021 - ncbi.nlm.nih.gov
Background: Multicollinearity greatly affects the Maximum Likelihood Estimator (MLE)
efficiency in both the linear regression model and the generalized linear model. Alternative …

A robust Kibria–Lukman estimator for linear regression model to combat multicollinearity and outliers

A Majid, S Ahmad, M Aslam… - … and Computation: Practice …, 2023 - Wiley Online Library
To circumvent the problem of multicollinearity in regression models, a ridge‐type estimator is
recently proposed in the literature, which is named as the Kibria–Lukman estimator (KLE) …