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13.240 Articles in journals published by the UPC
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Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes

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Kokonendji, Célestin C.
Dossou-Gbété, Simplice
Demétrio, Clarice G.B.
Document typeArticle
Defense date2004
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain
Abstract
In 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.
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 
URIhttp://hdl.handle.net/2099/3750
ISSN1696-2281
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  • SORT (Statistics and Operations Research Transactions) - 2004, Vol. 28, Núm. 2 [9]
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