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A new biased estimator for the gamma regression model: Some applications in medical sciences
Department of Statistics, University of Sargodha, Sargodha, Pakistan.
Department of Statistics, University of Sargodha, Sargodha, Pakistan.
Jönköping University, Jönköping International Business School, JIBS, Economics, Finance and Statistics.ORCID iD: 0000-0003-0279-5305
2023 (English)In: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, Vol. 52, no 11, p. 3612-3632Article in journal (Refereed) Published
Abstract [en]

The Gamma Regression Model (GRM) has a variety of applications in medical sciences and other disciplines. The results of the GRM may be misleading in the presence of multicollinearity. In this article, a new biased estimator called James-Stein estimator is proposed to reduce the impact of correlated regressors for the GRM. The mean squared error (MSE) properties of the proposed estimator are derived and compared with the existing estimators. We conducted a simulation study and employed the MSE and bias evaluation criterion to judge the proposed estimator’s performance. Finally, two medical dataset are considered to show the benefit of the proposed estimator over existing estimators.

Place, publisher, year, edition, pages
Taylor & Francis, 2023. Vol. 52, no 11, p. 3612-3632
Keywords [en]
Gamma regression model, James-Stein estimator, MSE, ridge regression, shrinkage estimator, Mean square error, Biased estimators, Evaluation criteria, James-Stein estimators, Mean squared error, Medical dataset, Multicollinearity, Regression model, Simulation studies, Regression analysis
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:hj:diva-54761DOI: 10.1080/03610926.2021.1977958ISI: 000697403600001Scopus ID: 2-s2.0-85115273501Local ID: ;intsam;54761OAI: oai:DiVA.org:hj-54761DiVA, id: diva2:1597977
Available from: 2021-09-28 Created: 2021-09-28 Last updated: 2023-04-21Bibliographically approved

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Qasim, Muhammad

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