Liu-type estimator in Conway-Maxwell-Poisson regression model: theory, simulation and application
Recently, many authors have been motivated to propose a new regression estimator in the case of multicollinearity. The most well-known of these estimators are ridge, Liu and Liu-type estimators. Many studies on regression models have shown that the Liu-type estimator is a good alternative to the rid...
Saved in:
Published in | Statistics (Berlin, DDR) Vol. 58; no. 1; pp. 65 - 86 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
02.01.2024
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | Recently, many authors have been motivated to propose a new regression estimator in the case of multicollinearity. The most well-known of these estimators are ridge, Liu and Liu-type estimators. Many studies on regression models have shown that the Liu-type estimator is a good alternative to the ridge and Liu estimators in the literature. We consider a new Liu-type estimator, an alternative to ridge and Liu estimators in Conway-Maxwell-Poisson regression model. Moreover, we study the theoretical properties of the Liu-type estimator, and we provide some theorems showing under which conditions that the Liu-type estimator is superior to the others. Since there are two parameters of the Liu-type estimator, we also propose a method to select the parameters. We designed a simulation study to demonstrate the superiority of the Liu-type estimator compared to the ridge and Liu estimators. We also evaluated the usefulness and superiority of the proposed regression estimator with a practical data example. As a result of the simulation and real-world data example, we conclude that the proposed regression estimator is superior to its competitors according to the mean square error criterion. |
---|---|
ISSN: | 0233-1888 1029-4910 |
DOI: | 10.1080/02331888.2023.2301326 |