Properties and Inference for a New Class of Generalized Rayleigh Distributions with an Application

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dc.contributor.authorBicer, Hayrinisa Demirci
dc.date.accessioned2020-06-25T18:33:59Z
dc.date.available2020-06-25T18:33:59Z
dc.date.issued2019
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the present paper, we introduce a new form of generalized Rayleigh distribution called the Alpha Power generalized Rayleigh (APGR) distribution by following the idea of extension of the distribution families with the Alpha Power transformation. The introduced distribution has the more general form than both the Rayleigh and generalized Rayleigh distributions and provides a better fit than the Rayleigh and generalized Rayleigh distributions for more various forms of the data sets. In the paper, we also obtain explicit forms of some important statistical characteristics of the APGR distribution such as hazard function, survival function, mode, moments, characteristic function, Shannon and Renyi entropies, stress-strength probability, Lorenz and Bonferroni curves and order statistics. The statistical inference problem for the APGR distribution is investigated by using the maximum likelihood and least-square methods. The estimation performances of the obtained estimators are compared based on the bias and mean square error criteria by a conducted Monte-Carlo simulation on small, moderate and large sample sizes. Finally, a real data analysis is given to show how the proposed model works in practice.en_US
dc.identifier.citationBiçer, H. (2019). Properties and Inference for a New Class of Generalized Rayleigh Distributions with an Application. Open Mathematics, 17(1), 700-715.en_US
dc.identifier.doi10.1515/math-2019-0057
dc.identifier.endpage715en_US
dc.identifier.issn2391-5455
dc.identifier.startpage700en_US
dc.identifier.urihttps://doi.org/10.1515/math-2019-0057
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7731
dc.identifier.volume17en_US
dc.identifier.wosWOS:000477600900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSciendoen_US
dc.relation.ispartofOpen Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAlpha power transformationen_US
dc.subjectMaximum likelihood estimateen_US
dc.subjectLeast-square estimateen_US
dc.subjectShannon entropyen_US
dc.subjectGeneralized Rayleigh distributionen_US
dc.titleProperties and Inference for a New Class of Generalized Rayleigh Distributions with an Applicationen_US
dc.typeArticle

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