The mixed weibullnegative binomial distribution

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dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorKuş, Coşkun
dc.contributor.authorErol, Hamza
dc.date.accessioned2018-05-08T11:43:52Z
dc.date.available2018-05-08T11:43:52Z
dc.date.issued2011
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/288en_US
dc.description.abstractIn this paper, we introduce the Weibull Negative Binomial (WNB) with four parameters distribution which is obtained by compounding Weibull and Negative Binomial distributions, where compounding procedure follows same way that was previously carried out by Adamidis and Loukas (1998) and Kus (2007). This new distribution is a genaral case Exponential-geometric (EG) and Weibull-geometric distributions (WG), which was introduced recently by Adamidis and Loukas (1998) and Barreto-Souza et. all. (2010) respectively. The WNB distribution has increasing, decreasing, upside down bathtub hazard function. We obtain several properties of the WNB distributions such as moments, order statistics, estimation by maximum likelihood and inference for large sample. Furthermore, EM algorithm is also used to determine the maximum likelihood estimates of parameters and we discuss Renyi and Shannon entropy. Applications to real data sets are given to show the exibility and potentiality of the proposed distribution.en_US
dc.identifier.citationKorkmaz, M. Ç., Kuş, C., Erol, H. (2011). The mixed weibullnegative binomial distribution. Selcuk Journal of Applied Mathematics, 12, 21-33.en_US
dc.identifier.endpage33
dc.identifier.issn1302-7980en_US
dc.identifier.startpage21
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10583
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBirleştirmeen_US
dc.subjectCompoundingen_US
dc.subjectKarışık dağıtımen_US
dc.subjectMixed distributionen_US
dc.subjectBaşarısızlık oranıen_US
dc.subjectFailure rateen_US
dc.subjectNegatif Binom dağılımıen_US
dc.subjectNegative Binomial distributionen_US
dc.subjectMaksimum olasılık tahminien_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectÖmür boyu dağılımlarıen_US
dc.subjectLifetime distributionsen_US
dc.subjectWeibull dağılımıen_US
dc.subjectWeibull distributionen_US
dc.subjectEM algoritmasıen_US
dc.subjectEM algorithmen_US
dc.titleThe mixed weibullnegative binomial distributionen_US
dc.typeArticleen_US

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