On Robust and Non-Robust Modified Liu Estimation in Poisson Regression Model with Multicollinearity and Outliers
Fatimah M. Alghamdi·Ahmed M. Gemeay·Laxmi Prasad Sapkota·Ali T. Hammad·Gamal A. Abd-Elmougod·B. M. Golam Kibria
The Poisson regression model is widely used in statistical data modeling in diverse fields, such as epidemiology, economics, engineering, and sports. Its popularity stems from its ability to effectively describe the relationship between a statistical response variable and a set of explanatory variables. However, multicollinearity among predictors and outliers in the data can severely affect the reliability of parameter estimation, leading to inflated variances and biased results. Multicollineari