Statistical Modelling 8 (2008), 97114
A Markov gamma random field for modelling disease mapping data
Luis E Nieto-Barajas
Department of Statistics,
ITAM,
Rio Hondo 1,
Tizapan San Angel, 01000 Mexico D.F.
Mexico.
eMail:
lnieto@itam.mx
Abstract:
In this paper we introduce a Markov gamma random field prior for
modelling relative risks in disease mapping data. This prior process
allows for a different dependence effect with different neighbours.
We describe the properties of the prior process and derive posterior
distributions. The model is extended to cope with covariates and a
data set of respiratory infections of children in Mexico is used as
an illustration.
Keywords:
Bayes nonparametrics; correlated gamma process;
discrete Markov gamma process; disease mapping;
latent variables
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