Estimating the Unrestricted and Restricted Liu Estimators for the Poisson Regression Model: Method and Application
Kristofer Månsson, B. M. Golam Kibria
Abstract
Abstract This paper considers both unrestricted and restricted Liu estimators in the presence of multicollinearity for the Poisson regression model. It also considers some new estimators of the shrinkage parameter for both unrestricted and restricted Liu estimators. Based on a simulation study and its empirical application, we found that the restricted estimator outperforms the unrestricted one. Further, the restricted Liu estimator also outperforms both the unrestricted Liu and restricted Liu estimators. Hence, this new method is a preferred option when the coefficient vector β may belong to a linear sub-space defined by Rβ = r .
Topics & Concepts
MulticollinearityEstimatorMathematicsPoisson regressionPoisson distributionStatisticsLinear regressionApplied mathematicsEconometricsDemographyPopulationSociologyAdvanced Statistical Methods and ModelsStatistical Distribution Estimation and ApplicationsFuzzy Systems and Optimization