Restricted covariance priors with applications in spatial statistic

Smith, Theresa and Wakefield, Jon and Dobra, Adrian (2015) Restricted covariance priors with applications in spatial statistic. Bayesian Analysis, 10 (4). pp. 965-990. ISSN 1936-0975

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Abstract

We present a Bayesian model for area-level count data that uses Gaussian random effects with a novel type of G-Wishart prior on the inverse variance–covariance matrix. Specifically, we introduce a new distribution called the truncated G-Wishart distribution that has support over precision matrices that lead to positive associations between the random effects of neighboring regions while preserving conditional independence of non-neighboring regions. We describe Markov chain Monte Carlo sampling algorithms for the truncated G-Wishart prior in a disease mapping context and compare our results to Bayesian hierarchical models based on intrinsic autoregression priors. A simulation study illustrates that using the truncated G-Wishart prior improves over the intrinsic autoregressive priors when there are discontinuities in the disease risk surface. The new model is applied to an analysis of cancer incidence data in Washington State.

Item Type:
Journal Article
Journal or Publication Title:
Bayesian Analysis
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
ID Code:
72870
Deposited By:
Deposited On:
06 Feb 2015 17:11
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2020 04:49