A New Conway Maxwell–Poisson Liu Regression Estimator—Method and Application

Poisson regression is a popular tool for modeling count data and applied in medical sciences, engineering others. Real data, however, are often over or underdispersed, we cannot apply the regression. To overcome this issue, consider model based on Conway–Maxwell (COMP) distribution. Generally, maximum likelihood estimator used estimation of unknown parameters COMP model. However, existence multicollinearity, estimates become unstable due to its high variance standard error. solve new Liu proposed with over-, equi-, underdispersion. assess performance, conduct Monte Carlo simulation where mean squared error considered as an evaluation criterion. Findings study show that performance our considerably better compared Finally, application superiority estimator. The findings clearly demonstrated superior