Title: Smooth estimation of mean and dispersion function in extended Generalized Additive Models with application to Italian Induced Abortion data
Authors: Gijbels, Irène ×
Prosdocimi, Ilaria #
Issue Date: Nov-2011
Publisher: Sheffield City Polytechnic
Series Title: Journal of Applied Statistics vol:38 issue:11 pages:2391-2411
Abstract: We analyse data on abortion rate (AR) in Italy with a particular focus on different behaviours in different regions in Italy. The aim is to try to reveal the relationship between the AR and several covariates that describe in some way the modernity of the region and the condition of the women there. The data are mostly underdispersed and the degree of underdispersion also varies with the covariates. To analyse these data, recent techniques for flexible modelling of a mean and dispersion function in a double exponential family framework are further developed now in a generalized additive model context for dealing with the multivariate set-up. The appealing unified framework and approach even allow to semi-parametric modelling of the covariates without any additional efforts. The methodology is illustrated on ozone-level data and leads to interesting findings in the Italian abortion data.
ISSN: 0266-4763
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Statistics Section
× corresponding author
# (joint) last author

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