Monte Carlo Methods in Bayesian Computation by Joseph G. Ibrahim, Qi-Man Shao, Ming-Hui Chen (Paperback, 2012)

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The authors also discuss model comparisons, including both nested and non-nested models, marginal likelihood methods, ratios of normalizing constants, Bayes factors, the Savage-Dickey density ratio, Stochastic Search Variable Selection, Bayesian Model Averaging, the reverse jump algorithm, and model adequacy using predictive and latent residual approaches.