Fernandez, Carmen and Green, Peter J. (2002) Modelling spatially correlated data via mixtures: a Bayesian approach. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 64 (4). pp. 805-826. ISSN 1369-7412Full text not available from this repository.
The paper develops mixture models for spatially indexed data. We confine attention to the case of finite, typically irregular, patterns of points or regions with prescribed spatial relationships, and to problems where it is only the weights in the mixture that vary from one location to another. Our specific focus is on Poisson-distributed data, and applications in disease mapping. We work in a Bayesian framework, with the Poisson parameters drawn from gamma priors, and an unknown number of components. We propose two alternative models for spatially dependent weights, based on transformations of autoregressive Gaussian processes: in one (the logistic normal model), the mixture component labels are exchangeable; in the other (the grouped continuous model), they are ordered. Reversible jump Markov chain Monte Carlo algorithms for posterior inference are developed. Finally, the performances of both of these formulations are examined on synthetic data and real data on mortality from a rare disease.
|Journal or Publication Title:||Journal of the Royal Statistical Society: Series B (Statistical Methodology)|
|Uncontrolled Keywords:||Disease mapping • Grouped continuous model • Logistic normal model • Poisson mixtures • Reversible jump Markov chain Monte Carlo method|
|Subjects:||Q Science > QA Mathematics|
|Deposited On:||19 Nov 2008 11:31|
|Last Modified:||07 Jan 2015 13:09|
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