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Modelling zero-inflated count data with a special case of the generalised poisson distribution

Recurso electrónico / Electronic resource
Section: Articles
Title: Modelling zero-inflated count data with a special case of the generalised poisson distribution / Enrique Calderín-Ojeda, Emilio Gómez Déniz, Inmaculada Barranco ChamorroAuthor: Calderín-Ojeda, Enrique
Notes: Sumario: A one-parameter version of the generalised Poisson distribution provided by Consul and Jain (1973) is considered in this paper. The distribution is unimodal with a zero vertex and over-dispersed. A generalised linear model related to this distribution is also presented. Its parameters can be estimated by using a Fisher-Scoring algorithm which is equivalent to iteratively reweighted least squares. Due to its flexibility and capacity to describe highly skewed data with an excessive number of zeros, the model is suitable to be applied in insurance settings as an alternative to the negative binomial and zero-inflated model.Related records: En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 02/09/2019 Volumen 49 Número 3 - septiembre 2019 , p. 689-707Materia / lugar / evento: Modelos actuariales Matemática del seguro Distribuciones de probabilidad Distribución Poisson-Beta Otros autores: Barranco Chamorro, Inmaculada
Gómez Déniz, Emilio
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