Ratio-type estimators for improving mean estimation using Poisson regression method

Poisson regression model is the most common method used to model count response in many studies. This paper proposes a new ratio-type estimators based on Poisson regression in simple random sampling. The mean square error (MSE) equation of these estimators is obtained in this study. Theoretically, the MSE of the proposed estimators and the MSE of the traditional ratio estimators are compared. As a result of these comparisons, it has shown that the suggested estimator is more efficient than the traditional estimators. In addition, the results of the application part supported the theoretical findings of the study.