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dc.contributor.authorKokonendji, Célestin C.
dc.contributor.authorDossou-Gbété, Simplice
dc.contributor.authorDemétrio, Clarice G.B.
dc.identifier.citationKokonendji, Célestin C.; Dossou-Gbété, Simplice; Demétrio, Clarice G. B.. "Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes". SORT, 2004, Vol. 28, núm. 2
dc.description.abstractIn this paper we investigate two classes of exponential dispersion models (EDMs) for overdispersed count data with respect to the Poisson distribution. The first is a class of Poisson mixture with positive Tweedie mixing distributions. As an approximation (in terms of unit variance function) of the first, the second is a new class of EDMs characterized by their unit variance functions of the form µ + µp, where p is a real index related to a precise model. These two classes provide some alternatives to the negative binomial distribution ( p= 2) which is classically used in the framework of regression models for count data when overdispersion results in a lack of fit of the Poisson regression model. Some properties are then studied and the practical usefulness is also discussed.
dc.publisherInstitut d'Estadística de Catalunya
dc.relation.ispartofSORT. 2004, Vol. 28, Núm. 2 [July-December]
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.otherDistribution (Probability theory)
dc.titleSome discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes
dc.subject.lemacDistribució (Teoria de la probabilitat)
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
dc.subject.amsClassificació AMS::62 Statistics::62E Distribution theory
dc.rights.accessOpen Access

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