Liu-type estimator in Conway-Maxwell-Poisson regression model: theory, simulation and application

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dc.contributor.authorTanis, Caner
dc.contributor.authorAsar, Yasin
dc.date.accessioned2024-02-23T14:17:17Z
dc.date.available2024-02-23T14:17:17Z
dc.date.issued2024
dc.departmentNEÜen_US
dc.description.abstractRecently, 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.en_US
dc.identifier.doi10.1080/02331888.2023.2301326
dc.identifier.issn0233-1888
dc.identifier.issn1029-4910
dc.identifier.scopus2-s2.0-85184154146en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1080/02331888.2023.2301326
dc.identifier.urihttps://hdl.handle.net/20.500.12452/13030
dc.identifier.wosWOS:001142414800001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofStatisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConway-Maxwell-Poisson Regression Modelen_US
dc.subjectLiu Estimatoren_US
dc.subjectLiu-Type Estimatoren_US
dc.subjectMonte Carlo Simulationen_US
dc.subjectMulticollinearityen_US
dc.titleLiu-type estimator in Conway-Maxwell-Poisson regression model: theory, simulation and applicationen_US
dc.typeArticleen_US

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