Uporedite metode

	Hamiltonian Monte Carlo sa nedostajućim podacima	Gibbs Sampling sa nedostajućim podacima
Oblast	Bajesovska statistika	Bajesovska statistika
Porodica	Bayesian methods	Bayesian methods
Godina nastanka	1996–2011	1987–1990
Tvorac	Radford M. Neal (HMC, 1996/2011); missing-data treatment via Bayesian data augmentation (Tanner & Wong, 1987)	Tanner & Wong (data augmentation), Gelfand & Smith (Gibbs sampler)
Tip	Bayesian computational sampler	Bayesian computational method
Temeljni izvor	Neal, R. M. (2011). MCMC using Hamiltonian dynamics. In S. Brooks, A. Gelman, G. Jones & X.-L. Meng (Eds.), Handbook of Markov Chain Monte Carlo (pp. 113-162). CRC Press. ISBN: 978-1420079418	Tanner, M. A. & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the American Statistical Association, 82(398), 528–540.
Drugi nazivi	HMC with missing data, HMC data augmentation, Bayesian HMC imputation, HMC with data augmentation	data augmentation Gibbs sampler, Gibbs sampler with data augmentation, Bayesian imputation via Gibbs sampling, MCMC missing data imputation
Srodne	6	6
Sažetak	Hamiltonian Monte Carlo with missing data extends the gradient-based HMC sampler to handle incomplete observations by treating missing values as additional unknown parameters. The posterior over model parameters and missing values is sampled jointly in one efficient pass, exploiting gradient information to explore the high-dimensional joint space with far fewer rejected proposals than random-walk MCMC.	Gibbs sampling with missing data treats unobserved values as additional unknowns alongside model parameters and samples all of them jointly within a Markov chain Monte Carlo loop. The method alternates between drawing the missing values from their conditional distribution given the parameters and drawing the parameters from their conditional distribution given the completed data, producing a posterior over both simultaneously.