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Statistical Modelling
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Articles

A Markov gamma random field for modelling disease mapping data

Luis E Nieto-Barajas

Luis E Nieto-Barajas is at Department of Statistics, ITAM, Rio Hondo 1, Tizapan San Angel, 01000 Mexico D.F., Mexico. E-mail: lnieto{at}itam.mx

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.

Key Words: Bayes nonparametrics • correlated gamma process • discrete Markov gamma process • disease mapping • latent variables

Statistical Modelling, Vol. 8, No. 1, 97-114 (2008)
DOI: 10.1177/1471082X0700800107


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