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Metropolis-Hastings cu Date Lipsă×Algoritmul Metropolis-Hastings×
DomeniuBayesianBayesian
FamilieBayesian methodsBayesian methods
Anul apariției1953 / 19871953
Autorul originalMetropolis et al. (1953); missing-data extension formalised by Tanner & Wong (1987)Metropolis et al. (1953); generalised by Hastings (1970)
TipMCMC sampler with latent-variable augmentationMarkov chain Monte Carlo sampler
Sursa seminalăTanner, M. A. & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the American Statistical Association, 82(398), 528-540. DOI ↗Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6), 1087–1092. DOI ↗
Denumiri alternativeMH with missing data, Metropolis-Hastings data augmentation, MCMC missing data imputation, MH data-augmentation samplerMH algorithm, M-H algorithm, Metropolis algorithm, Metropolis-Hastings sampler
Înrudite65
RezumatMetropolis-Hastings with missing data treats unobserved values as latent variables and samples them jointly with model parameters inside a single MCMC chain. By augmenting the target distribution to include both parameters and missing values, the algorithm yields properly calibrated posterior inference without discarding incomplete cases or requiring a separate imputation step.The Metropolis-Hastings (MH) algorithm is a general-purpose Markov chain Monte Carlo (MCMC) method for drawing samples from any probability distribution whose density can be evaluated up to a normalising constant. Introduced by Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller (1953) in computational physics and generalised by Hastings (1970) to asymmetric proposal distributions, it is the foundational algorithm from which nearly all subsequent MCMC samplers — Gibbs sampling, Hamiltonian Monte Carlo, slice sampling — are derived or can be viewed as special cases.
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ScholarGateCompară metode: Metropolis-Hastings with Missing Data · Metropolis-Hastings Algorithm. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare