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Evaluation of spatial Bayesian models – two computational methods. (English) Zbl 0847.62020
Summary: Integrating a posterior function with respect to its parameters is required to compare the goodness-of-fit among Bayesian models which may have distinct priors or likelihoods. This paper is concerned with two integration methods for very high dimensional functions, using a Markovian Monte Carlo simulation or a Gaussian approximation. Numerical applications include analyses of spatial data in epidemiology and seismology.
Reviewer: Reviewer (Berlin)

##### MSC:
 62F15 Bayesian inference 65C99 Probabilistic methods, stochastic differential equations 62H11 Directional data; spatial statistics 65D10 Numerical smoothing, curve fitting 65C05 Monte Carlo methods 62M30 Inference from spatial processes
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