A New Tobit Ridge-Type Estimator of the Censored Regression Model With Multicollinearity Problem

Issam Dawoud, Mohamed R. Abonazel, Fuad A. Awwad, Elsayed Tag Eldin
2022 Frontiers in Applied Mathematics and Statistics  
In the censored regression model, the Tobit maximum likelihood estimator is unstable and inefficient in the occurrence of the multicollinearity problem. To reduce this problem's effects, the Tobit ridge and the Tobit Liu estimators are proposed. Therefore, this study proposes a new kind of the Tobit estimation called the Tobit new ridge-type (TNRT) estimator. Also, the TNRT estimator was theoretically compared with the Tobit maximum likelihood, the Tobit ridge, and the Tobit Liu estimators via
more » ... he mean squared error criterion. Moreover, we performed a Monte Carlo simulation to study the performance of the TNRT estimator compared with the previously defined estimators. Also, we used the Mroz dataset to confirm the theoretical and the simulation study results.
doi:10.3389/fams.2022.952142 doaj:f442c73aa14342d897b7327c3e667aac fatcat:ssqj2r3dzfglffidkqxlre5g4u