# Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes.

Célestin C. Kokonendji; Simplice Dossou-Gbété; Clarice G. B. Demétrio

SORT (2004)

- Volume: 28, Issue: 2, page 201-214
- ISSN: 1696-2281

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topKokonendji, Célestin C., Dossou-Gbété, Simplice, and Demétrio, Clarice G. B.. "Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes.." SORT 28.2 (2004): 201-214. <http://eudml.org/doc/40459>.

@article{Kokonendji2004,

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.},

author = {Kokonendji, Célestin C., Dossou-Gbété, Simplice, Demétrio, Clarice G. B.},

journal = {SORT},

keywords = {Teoría de la distribución; Distribución binomial; Procesos de Poisson; Dispersión estadística; negative binomial distribution; overdispersion; Poisson mixture; Tweedie family; unit variance function},

language = {eng},

number = {2},

pages = {201-214},

title = {Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes.},

url = {http://eudml.org/doc/40459},

volume = {28},

year = {2004},

}

TY - JOUR

AU - Kokonendji, Célestin C.

AU - Dossou-Gbété, Simplice

AU - Demétrio, Clarice G. B.

TI - Some discrete exponential dispersion models: Poisson-Tweedie and Hinde-Demétrio classes.

JO - SORT

PY - 2004

VL - 28

IS - 2

SP - 201

EP - 214

AB - 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.

LA - eng

KW - Teoría de la distribución; Distribución binomial; Procesos de Poisson; Dispersión estadística; negative binomial distribution; overdispersion; Poisson mixture; Tweedie family; unit variance function

UR - http://eudml.org/doc/40459

ER -

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