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dc.contributor.authorNekoukhou, Vahid
dc.contributor.authorBidram, Hamid
dc.date.accessioned2016-07-05T13:33:37Z
dc.date.available2016-07-05T13:33:37Z
dc.date.issued2015-06
dc.identifier.citationNekoukhou, Vahid; Bidram, Hamid. The exponentiated discrete Weibull Distribution. "SORT", Juny 2015, vol. 39, p. 127-146.
dc.identifier.issn1696-2281
dc.identifier.urihttp://hdl.handle.net/2117/88523
dc.description.abstractIn this paper, the exponentiated discrete Weibull distribution is introduced. This new generalization of the discrete Weibull distribution can also be considered as a discrete analogue of the exponentiated Weibull distribution. A special case of this exponentiated discrete Weibull distribution defines a new generalization of the discrete Rayleigh distribution for the first time in the literature. In addition, discrete generalized exponential and geometric distributions are some special sub-models of the new distribution. Here, some basic distributional properties, moments, and order statistics of this new discrete distribution are studied. We will see that the hazard rate function can be in- creasing, decreasing, bathtub, and upside-down bathtub shaped. Estimation of the parameters is illustrated using the maximum likelihood method. The model with a real data set is also examined
dc.format.extent20 p.
dc.language.isoeng
dc.publisherInstitut d'Estadística de Catalunya
dc.relation.ispartofSORT. 2015, Vol. 39, Núm. 1
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
dc.subject.otherDiscrete generalized exponential distribution
dc.subject.otherexponentiated discrete Weibull distribution
dc.subject.otherexponentiated Weibull distribution
dc.subject.othergeometric distribution
dc.subject.otherinfinite divisibility
dc.subject.otherorder statistics
dc.subject.otherresilience parameter family
dc.subject.otherstress-strength parameter
dc.titleThe exponentiated discrete Weibull Distribution
dc.typeArticle
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::62 Statistics::62E Distribution theory
dc.subject.amsClassificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
dc.rights.accessOpen Access
local.citation.publicationNameSORT
local.citation.volume39
local.citation.startingPage127
local.citation.endingPage146


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