On the new modified Dagum distribution: Properties and applications

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dc.authorid0000-0003-3302-0705en_US
dc.contributor.authorBhatti, Fiaz Ahmad
dc.contributor.authorHamedani, Gholamhossein G.
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorAhmad, Munir
dc.date.accessioned2020-09-09T06:48:11Z
dc.date.available2020-09-09T06:48:11Z
dc.date.issued2020
dc.departmentAÇÜ, Eğitim Fakültesien_US
dc.description.abstractIn this paper, a new five parameter extended Dagum model called new modified Dagum (NMD) distribution is proposed. The proposed distribution is flexible as its density contains important sub-models such as modified Dagum, new Dagum, new modified Burr III, modified Burr III, Frechet, modified Frechet and many other distributions. The NMD density function is symmetrical, left-skewed, right-skewed, J, reverse-J and arc. The NMD distribution can produce all types of failure rates such as modified bathtub, bathtub, inverted bathtub, increasing and decreasing. To show the importance of the proposed distribution, we derive mathematical properties such as random number generator, sub-models, ordinary moments, moment generating function, characteristic function, incomplete moments, inequality measures, residual life functions and reliability measures. We characterize the NMD distribution via innovative techniques. We address the maximum likelihood estimation technique for the model parameters. We evaluate the precision of the maximum likelihood estimators via simulation study on the basis of the graphical results. We consider an application to a real data set to clarify the potentiality and utility of the NMD model. We establish empirically that the proposed model is suitable for survival times of patient's application. We apply goodness of fit statistics and graphical tools to examine the adequacy of the NMD distribution.
dc.identifier.citationFiaz Ahmad Bhatti , G. G. Hamedani , Mustafa C. Korkmaz & Munir Ahmad(2020): On the new modified Dagum distribution: Properties and applications, Journal of Statisticsand Management 23(8), ‏ 1513-1542Systems, DOI: 10.1080/09720510.2020.1745390en_US
dc.identifier.doi10.1080/09720510.2020.1745390
dc.identifier.endpage1542
dc.identifier.issue8
dc.identifier.startpage1513
dc.identifier.urihttps://hdl.handle.net/11494/2166
dc.identifier.volume23
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoenen_US
dc.publisherTaru Publicationen_US
dc.relation.ispartofJournal of Statistics and Management Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCharacterizationsen_US
dc.subjectLambert W functionen_US
dc.subjectMaximum Likelihood Estimationen_US
dc.subjectMomentsen_US
dc.subjectReliabilityen_US
dc.titleOn the new modified Dagum distribution: Properties and applicationsen_US
dc.typeArticle

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