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Subsampling the Gibbs Sampler
Authors:Steven N Maceachern  L Mark Berliner
Institution:Department of Statistics , Ohio State University , Columbus , OH , 43210-1247 , USA
Abstract:This article provides a justification of the ban against sub-sampling the output of a stationary Markov chain that is suitable for presentation in undergraduate and beginning graduate-level courses. The justification does not rely on reversibility of the chain as does Geyer's (1992) argument and so applies to the usual implementation of the Gibbs sampler.
Keywords:Bayesian analysis  Markov chains  Monte Carlo  Stationary time series
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