Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1993 · 1.7K citations · 39 references
Natural SciencesComputer ScienceMathematicsProbability TheoryStatistical ModelingStatisticsBayesian ComputationBayesian InferenceBayesian ModelingBayesian StatisticsMarkov Chain Monte CarloMonte Carlo SimulationBayesian Computation For Stochastic Simulation ModelsBayesian Markov Chain Monte CarloGibbs SamplingMarkov Chain Monte Carlo EstimationMarkov Chain Monte Carlo InferenceSample-based Inference
SUMMARY The use of the Gibbs sampler for Bayesian computation is reviewed and illustrated in the context of some canonical examples. Other Markov chain Monte Carlo simulation methods are also briefly described, and comments are made on the advantages of sample-based approaches for Bayesian inference summaries.
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Equation of State Calculations by Fast Computing Machines
N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics · 1953 · 37.1K citations
Monte Carlo sampling methods using Markov chains and their applications
W. Keith Hastings · Biometrika · 1970 · 15.2K citations