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Slice Sampling×Regresi Bayesian×Sampling Gibbs×Markov Chain Monte Carlo (MCMC)×
BidangBayesianBayesianBayesianBayesian
KeluargaBayesian methodsBayesian methodsBayesian methodsBayesian methods
Tahun asal20031984
PencetusRadford M. NealStuart Geman & Donald Geman
TipeMCMC sampling algorithmBayesian linear modelMCMC sampling algorithmPosterior sampling algorithm
Sumber perintisNeal, R. M. (2003). Slice sampling (with discussion). Annals of Statistics, 31(3), 705–767. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Geman, S. & Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6(6), 721-741. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Aliasslice sampler, Neal slice sampler, uniform slice sampling, auxiliary variable slice samplerbayesian linear regression, probabilistic regression, bayesian regresyonGibbs sampler, coordinate-wise MCMC, systematic scan Gibbs, blocked Gibbs samplingmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Terkait4253
RingkasanSlice sampling is a Markov chain Monte Carlo (MCMC) algorithm introduced by Radford M. Neal in his 2003 Annals of Statistics paper. It generates samples from a target distribution by drawing uniformly from the region under the density curve — called the 'slice' — without requiring the user to specify a step-size or proposal distribution, making it self-tuning and broadly applicable for Bayesian posterior inference.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.Gibbs sampling is a Markov chain Monte Carlo algorithm that approximates a high-dimensional posterior distribution by repeatedly drawing each parameter from its full conditional distribution given all other parameters and the data. Because each draw is exact from a conditional — not a proposal that may be rejected — the sampler is efficient when those conditionals are available in closed form.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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ScholarGateBandingkan metode: Slice Sampling · Bayesian Regression · Gibbs Sampling · MCMC. Diakses 2026-06-18 dari https://scholargate.app/id/compare