Geometric-zero truncated poisson distribution: properties and applications

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dc.authorid0000-0003-3520-7493
dc.authorid0000-0002-7176-0176
dc.authorid0000-0003-4729-9380
dc.authorid0000-0002-0992-4133
dc.contributor.authorAkdoğan, Yunus
dc.contributor.authorKuş, Coşkun
dc.contributor.authorBidram, Hamid
dc.contributor.authorKınacı, İsmail
dc.date.accessioned2020-03-26T20:14:25Z
dc.date.available2020-03-26T20:14:25Z
dc.date.issued2019
dc.departmentSelçuk Üniversitesi, Fen Fakültesi, İstatistik Bölümüen_US
dc.description.abstractIn this paper, a new discrete distribution is introduced by compounding the geometric distribution with a zero truncated Poisson distribution, named geometric-zero truncated Poisson (GZTP) distribution. Some basic properties of the new distribution, such as the hazard rate function, moments, mode, median, etc., are studied. We show mathematically and numerically that the hazard rate function is increasing. The model parameters are estimated by the moment, least squared error and maximum likelihood methods. A simulation study is performed to compare the performance of the different estimators in terms of bias and mean squared error. An application of the new model is also illustrated using the three real data sets.en_US
dc.identifier.citationAkdogan, Y., Kus, C., Bidram, H., Kinaci, I. (2019). Geometric-Zero Truncated Poisson Distribution: Properties and Applications. Gazi University Journal of Science, 32(4), 1339-1354.
dc.identifier.doi10.35378/gujs.472978en_US
dc.identifier.endpage1354en_US
dc.identifier.issn2147-1762en_US
dc.identifier.issue4en_US
dc.identifier.pmid#YOKen_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1339en_US
dc.identifier.urihttps://dx.doi.org/10.35378/gujs.472978
dc.identifier.urihttps://hdl.handle.net/20.500.12395/37875
dc.identifier.volume32en_US
dc.identifier.wosWOS:000502038100020en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkdogan, Yunus.
dc.institutionauthorKus, Coskun.
dc.institutionauthorKinaci, Ismail.
dc.language.isoenen_US
dc.publisherGAZI UNIVen_US
dc.relation.ispartofGAZI UNIVERSITY JOURNAL OF SCIENCEen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectCompoundingen_US
dc.subjectEstimationen_US
dc.subjectGeometric distributionen_US
dc.subjectZero truncated Poisson distributionen_US
dc.titleGeometric-zero truncated poisson distribution: properties and applicationsen_US
dc.typeArticleen_US

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