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A Markov gamma random field for modelling disease mapping dataLuis 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) |
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