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The Gibbs sampler is a simple form of Markov Chain Monte Carlo simulation, widely used in Bayesian statistics, based on sampling from full conditional distributions for each variable or group of variables. The name comes from the method being first used on Gibbs random fields modeling of images by Geman and Geman (1984).

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Why Gibbs Sampling for mixture models?

I am studying MCMC and in the book I'm reading there is this example on Gibbs algorithm for inferring the posterior of a gaussian mixture. … Is this the only reason why Gibbs is to be preferred? Any help on understanding pros and cons of the various existing methods for inferring the posterior is well accepted. …
Federico Butori's user avatar