قارن الطرق

	الاستمثال البايزي المتسلسل مع البيانات المفقودة	خوارزمية متروبوليس-هاستينغز
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	1987	1953
صاحب الطريقة	Tanner & Wong (data augmentation); extended by Gelfand & Smith, Rubin	Metropolis et al. (1953); generalised by Hastings (1970)
النوع	Bayesian computational method	Markov chain Monte Carlo sampler
المصدر التأسيسي	Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley. ISBN: 978-0471183860	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.
الأسماء البديلة	MCMC missing data, data augmentation MCMC, Bayesian multiple imputation, MCMC imputation	MH algorithm, M-H algorithm, Metropolis algorithm, Metropolis-Hastings sampler
ذات صلة	6	5
الملخص	MCMC with missing data is a Bayesian computational strategy that treats unobserved values as additional unknown parameters. By alternating between sampling the missing values from their predictive distribution and sampling the model parameters from their posterior, the algorithm produces a valid joint posterior that fully accounts for uncertainty introduced by the missingness.	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.