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• Gibbs_sampling abstract "In statistics and in statistical physics, Gibbs sampling or a Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm for obtaining a sequence of observations which are approximated from a specified multivariate probability distribution (i.e. from the joint probability distribution of two or more random variables), when direct sampling is difficult. This sequence can be used to approximate the joint distribution (e.g., to generate a histogram of the distribution); to approximate the marginal distribution of one of the variables, or some subset of the variables (for example, the unknown parameters or latent variables); or to compute an integral (such as the expected value of one of the variables). Typically, some of the variables correspond to observations whose values are known, and hence do not need to be sampled.Gibbs sampling is commonly used as a means of statistical inference, especially Bayesian inference. It is a randomized algorithm (i.e. an algorithm that makes use of random numbers, and hence may produce different results each time it is run), and is an alternative to deterministic algorithms for statistical inference such as variational Bayes or the expectation-maximization algorithm (EM).As with other MCMC algorithms, Gibbs sampling generates a Markov chain of samples, each of which is correlated with nearby samples. As a result, care must be taken if independent samples are desired (typically by thinning the resulting chain of samples by only taking every nth value, e.g. every 100th value). In addition (again, as in other MCMC algorithms), samples from the beginning of the chain (the burn-in period) may not accurately represent the desired distribution.".
• Gibbs_sampling wikiPageExternalLink gibbs.html.
• Gibbs_sampling wikiPageExternalLink www.openbugs.net.
• Gibbs_sampling wikiPageExternalLink MARKOV.
• Gibbs_sampling wikiPageExternalLink pymc.
• Gibbs_sampling wikiPageID "509709".
• Gibbs_sampling wikiPageLength "32094".
• Gibbs_sampling wikiPageOutDegree "147".
• Gibbs_sampling wikiPageRevisionID "678331892".
• Gibbs_sampling wikiPageWikiLink Adaptive_rejection_sampling.
• Gibbs_sampling wikiPageWikiLink Algorithm.
• Gibbs_sampling wikiPageWikiLink American_Mathematical_Society.
• Gibbs_sampling wikiPageWikiLink Andrew_Gelman.
• Gibbs_sampling wikiPageWikiLink Autocorrelation.
• Gibbs_sampling wikiPageWikiLink Bayes_estimator.
• Gibbs_sampling wikiPageWikiLink Bayesian_analysis.
• Gibbs_sampling wikiPageWikiLink Bayesian_inference.
• Gibbs_sampling wikiPageWikiLink Bayesian_learning.
• Gibbs_sampling wikiPageWikiLink Bayesian_network.
• Gibbs_sampling wikiPageWikiLink Black_magic_(programming).
• Gibbs_sampling wikiPageWikiLink Categorical_distribution.
• Gibbs_sampling wikiPageWikiLink Category:Markov_chain_Monte_Carlo.
• Gibbs_sampling wikiPageWikiLink Chapman_&_Hall.
• Gibbs_sampling wikiPageWikiLink Church_(programming_language).
• Gibbs_sampling wikiPageWikiLink Compound_distribution.
• Gibbs_sampling wikiPageWikiLink Compound_probability_distribution.
• Gibbs_sampling wikiPageWikiLink Conditional_distribution.
• Gibbs_sampling wikiPageWikiLink Conditional_probability_distribution.
• Gibbs_sampling wikiPageWikiLink Conjugate_prior.
• Gibbs_sampling wikiPageWikiLink Continuous_distribution.
• Gibbs_sampling wikiPageWikiLink Curse_of_dimensionality.
• Gibbs_sampling wikiPageWikiLink Detailed_balance.
• Gibbs_sampling wikiPageWikiLink Detailed_balance_equations.
• Gibbs_sampling wikiPageWikiLink Determinism.
• Gibbs_sampling wikiPageWikiLink Deterministic_algorithm.
• Gibbs_sampling wikiPageWikiLink Deterministically.
• Gibbs_sampling wikiPageWikiLink Dirichlet-multinomial_distribution.
• Gibbs_sampling wikiPageWikiLink Dirichlet_distribution.
• Gibbs_sampling wikiPageWikiLink Discrete_distribution.
• Gibbs_sampling wikiPageWikiLink Donald_Geman.
• Gibbs_sampling wikiPageWikiLink Equivalence_relation.
• Gibbs_sampling wikiPageWikiLink Expectation-maximization.
• Gibbs_sampling wikiPageWikiLink Expectation-maximization_algorithm.
• Gibbs_sampling wikiPageWikiLink Expectation_maximization.
• Gibbs_sampling wikiPageWikiLink Expectation–maximization_algorithm.
• Gibbs_sampling wikiPageWikiLink Expected_value.
• Gibbs_sampling wikiPageWikiLink Exponential_family.
• Gibbs_sampling wikiPageWikiLink Forward-backward_algorithm.
• Gibbs_sampling wikiPageWikiLink Forward–backward_algorithm.
• Gibbs_sampling wikiPageWikiLink Gamma_distribution.
• Gibbs_sampling wikiPageWikiLink Gaussian_distribution.
• Gibbs_sampling wikiPageWikiLink Generalized_linear_model.
• Gibbs_sampling wikiPageWikiLink Generalized_linear_models.
• Gibbs_sampling wikiPageWikiLink Graphical_model.
• Gibbs_sampling wikiPageWikiLink Hidden_Markov_model.
• Gibbs_sampling wikiPageWikiLink Hierarchical_Bayesian_model.
• Gibbs_sampling wikiPageWikiLink Independent_and_identically_distributed_random_variables.
• Gibbs_sampling wikiPageWikiLink Independent_identically_distributed.
• Gibbs_sampling wikiPageWikiLink Integral.
• Gibbs_sampling wikiPageWikiLink Inverse-gamma_distribution.
• Gibbs_sampling wikiPageWikiLink Inverse_gamma_distribution.
• Gibbs_sampling wikiPageWikiLink Joint_distribution.
• Gibbs_sampling wikiPageWikiLink Joint_probability.
• Gibbs_sampling wikiPageWikiLink Joint_probability_distribution.
• Gibbs_sampling wikiPageWikiLink Josiah_Willard_Gibbs.
• Gibbs_sampling wikiPageWikiLink Journal_of_the_American_Statistical_Association.
• Gibbs_sampling wikiPageWikiLink Just_another_Gibbs_sampler.
• Gibbs_sampling wikiPageWikiLink Latent_Dirichlet_allocation.
• Gibbs_sampling wikiPageWikiLink Latent_variable.
• Gibbs_sampling wikiPageWikiLink Linear_regression.
• Gibbs_sampling wikiPageWikiLink Log-concave.
• Gibbs_sampling wikiPageWikiLink Logistic_function.
• Gibbs_sampling wikiPageWikiLink Logistic_regression.
• Gibbs_sampling wikiPageWikiLink Magic_(programming).
• Gibbs_sampling wikiPageWikiLink Marginal_distribution.
• Gibbs_sampling wikiPageWikiLink Markov_chain.
• Gibbs_sampling wikiPageWikiLink Markov_chain_Monte_Carlo.
• Gibbs_sampling wikiPageWikiLink Maximum_a_posteriori.
• Gibbs_sampling wikiPageWikiLink Maximum_a_posteriori_estimation.
• Gibbs_sampling wikiPageWikiLink Maximum_entropy.
• Gibbs_sampling wikiPageWikiLink Mean.
• Gibbs_sampling wikiPageWikiLink Metropolis-Hastings.
• Gibbs_sampling wikiPageWikiLink Metropolis-Hastings_algorithm.
• Gibbs_sampling wikiPageWikiLink Metropolis–Hastings_algorithm.
• Gibbs_sampling wikiPageWikiLink Mixture_model.
• Gibbs_sampling wikiPageWikiLink Mode_(statistics).
• Gibbs_sampling wikiPageWikiLink Multivariate_distribution.
• Gibbs_sampling wikiPageWikiLink Natural_language_processing.
• Gibbs_sampling wikiPageWikiLink Negative_binomial_distribution.
• Gibbs_sampling wikiPageWikiLink Normal_distribution.
• Gibbs_sampling wikiPageWikiLink Normalization_constant.
• Gibbs_sampling wikiPageWikiLink Normalizing_constant.
• Gibbs_sampling wikiPageWikiLink OpenBUGS.
• Gibbs_sampling wikiPageWikiLink Parameter.
• Gibbs_sampling wikiPageWikiLink Poisson_distribution.
• Gibbs_sampling wikiPageWikiLink Posterior_distribution.
• Gibbs_sampling wikiPageWikiLink Posterior_predictive_distribution.
• Gibbs_sampling wikiPageWikiLink Posterior_probability.
• Gibbs_sampling wikiPageWikiLink Prior_distribution.
• Gibbs_sampling wikiPageWikiLink Prior_probability.

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