Liu-type estimator for the gamma regression model

• Published in: Communications in statistics. Simulation and computation Vol. 49; no. 8; pp. 2035 - 2048
• Main Authors: Algamal, Zakariya Yahya, Asar, Yasin
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 02-08-2020; Taylor & Francis Ltd
• Subjects: Collinearity; Computer simulation; Estimators; Gamma regression; Generalized linear models; Liu estimator; Liu-type estimator; Monte Carlo simulation; Regression models; ridge estimator
• ISSN: 0361-0918; 1532-4141
• DOI: 10.1080/03610918.2018.1510525

In this paper, we propose a new biased estimator called Liu-type estimator in gamma regression models in the presence of collinearity. We also consider some other estimators such as ridge estimator and Liu estimator and conduct a Monte Carlo simulation study to compare the estimators under different designs of collinearity. Moreover, we provide a real data application to show the applicability of the new estimator. The simulations and real data results show that the proposed estimator outperforms better than other competitor estimators by yielding smaller mean squared error (MSE).