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

H Alrweili - … Journal of Mathematics and Mathematical Sciences, 2024 - Wiley Online Library
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 …

Modified Two-Parameter Liu Estimator for Addressing Multicollinearity in the Poisson Regression Model

MM Abdelwahab, MR Abonazel, AT Hammad… - Axioms, 2024 - mdpi.com
This study introduces a new two-parameter Liu estimator (PMTPLE) for addressing the
multicollinearity problem in the Poisson regression model (PRM). The estimation of the PRM …

[HTML][HTML] Developing ridge estimators for the extended Poisson-Tweedie regression model: Method, simulation, and application

MR Abonazel, ARR Alzahrani, AA Saber, I Dawoud… - Scientific African, 2024 - Elsevier
Abstract The extended Poisson-Tweedie (EPT) regression model is one of the count data
regression models. It's a more flexible model in count data; since EPT model can be used in …

Bayesian ridge estimators based on a vine copula-based prior in Poisson and negative binomial regression models

H Michimae, T Emura, K Furukawa - Journal of Statistical …, 2024 - Taylor & Francis
Poisson and negative binomial regressions are popular methods for modelling the
relationship between a count variable and explanatory variables. In the presence of …

Liu-type shrinkage estimators for mixture of logistic regressions: An osteoporosis study

E Ghanem, A Hatefi, H Usefi - Communications in Statistics …, 2024 - Taylor & Francis
The logistic regression model is one of the most powerful statistical methods for the analysis
of binary data. Logistic regression allows using a set of covariates to explain the binary …

A new modified biased estimator for Zero inflated Poisson regression model

M Zeeshan, A Khan, M Amanullah, ME Bakr… - Heliyon, 2024 - cell.com
Zero-inflated Poisson (ZIP) model is widely used for counting data with excessive zeroes.
The multicollinearity is the common factor in the explanatory variables of the count data. In …

Identifying a class of Ridge-type estimators in binary logistic regression models

E Ertan, KU Akay - Statistics, 2024 - Taylor & Francis
In the analysis of logistic regression models, various biased estimators have been proposed
as an alternative to the maximum likelihood estimator (MLE) for estimating model …

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

C Çiçek, KU Akay - Acta Infologica, 2024 - dergipark.org.tr
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 …