Uporedite metode

	Просторно МCMC (Spatial MCMC)	Hierarchical Bayesian Inference
Oblast	Bajesovska statistika	Bajesovska statistika
Porodica	Bayesian methods	Bayesian methods
Godina nastanka	1990s	1972 (Lindley & Smith); consolidated 1995–2013
Tvorac	Gelfand, Smith, and colleagues (early 1990s MCMC for spatial models)	Lindley & Smith; Gelman et al.
Tip	Bayesian computational method	Bayesian multilevel model
Temeljni izvor	Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173	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
Drugi nazivi	spatial Markov chain Monte Carlo, MCMC for spatial data, spatial Bayesian MCMC, geostatistical MCMC	multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
Srodne	4	6
Sažetak	Spatial MCMC applies Markov chain Monte Carlo sampling to Bayesian models that explicitly account for spatial dependence among observations. It draws posterior samples from models such as conditional autoregressive (CAR), simultaneous autoregressive (SAR), or geostatistical (Gaussian process) models, yielding full uncertainty distributions for spatially structured parameters like random effects, regression coefficients, and spatial range.	Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate.