Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes

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...

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Detalles Bibliográficos
Autores: Kokonendji, Célestin C., Dossou-Gbété, Simplice, Demétrio, Clarice Garcia Borges
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:93956
Acceso en línea:https://ddd.uab.cat/record/93956
Access Level:acceso abierto
Palabra clave:Negative binomial distribution
Overdispersion
Poisson mixture
Tweedie family
Unit
Variance function
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spelling Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classesKokonendji, Célestin C.Dossou-Gbété, SimpliceDemétrio, Clarice Garcia BorgesNegative binomial distributionOverdispersionPoisson mixtureTweedie familyUnitVariance functionIn 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. 22004-01-0120042004-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/93956reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:939562026-06-06T12:50:31Z
dc.title.none.fl_str_mv Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
title Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
spellingShingle Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
Kokonendji, Célestin C.
Negative binomial distribution
Overdispersion
Poisson mixture
Tweedie family
Unit
Variance function
title_short Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
title_full Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
title_fullStr Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
title_full_unstemmed Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
title_sort Some discrete exponential dispersion models : poisson-tweedie and hinde-demétrio classes
dc.creator.none.fl_str_mv Kokonendji, Célestin C.
Dossou-Gbété, Simplice
Demétrio, Clarice Garcia Borges
author Kokonendji, Célestin C.
author_facet Kokonendji, Célestin C.
Dossou-Gbété, Simplice
Demétrio, Clarice Garcia Borges
author_role author
author2 Dossou-Gbété, Simplice
Demétrio, Clarice Garcia Borges
author2_role author
author
dc.subject.none.fl_str_mv Negative binomial distribution
Overdispersion
Poisson mixture
Tweedie family
Unit
Variance function
topic Negative binomial distribution
Overdispersion
Poisson mixture
Tweedie family
Unit
Variance function
description 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.
publishDate 2004
dc.date.none.fl_str_mv 2
2004-01-01
2004
2004-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/93956
url https://ddd.uab.cat/record/93956
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/3.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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