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Compară metode

Examinează metodele selectate una lângă alta; rândurile care diferă sunt evidențiate.

Simulare Monte Carlo Spațială×Markov Chain Monte Carlo (MCMC)×
DomeniuBayesianSimulare
FamilieBayesian methodsProcess / pipeline
Anul apariției1970s–1980s1953 (Metropolis-Hastings); 1984 (Gibbs)
Autorul originalB. D. Ripley and the spatial statistics traditionMetropolis et al. (1953); Gibbs sampler formalised by Geman & Geman (1984)
Tipcomputational simulationSimulation-based Bayesian inference / numerical integration
Sursa seminalăRipley, B. D. (1987). Stochastic Simulation. John Wiley & Sons. ISBN: 978-0471818847Gelman, A., Carlin, J.B., Stern, H.S., Dunson, D.B., Vehtari, A. & Rubin, D.B. (2013). Bayesian Data Analysis (3rd ed.). Chapman & Hall/CRC. DOI ↗
Denumiri alternativespatial MC simulation, Monte Carlo spatial analysis, stochastic spatial simulation, spatial stochastic simulationMCMC, Metropolis-Hastings, Gibbs sampling, Markov Zinciri Monte Carlo (MCMC — Metropolis-Hastings, Gibbs)
Înrudite45
RezumatSpatial Monte Carlo simulation applies random sampling methods to spatial problems, generating many stochastic realisations of a spatial process — such as a random field, point pattern, or network — to estimate distributional properties, propagate uncertainty, or test spatial hypotheses. It is a cornerstone technique in geostatistics, spatial epidemiology, ecology, and environmental modelling.Markov Chain Monte Carlo (MCMC) is a family of simulation algorithms that constructs a Markov chain whose stationary distribution is the target posterior, enabling Bayesian inference and high-dimensional integral computation that would otherwise be analytically intractable. Pioneered by Metropolis and colleagues in 1953 and extended by Hastings in 1970, MCMC underpins modern Bayesian statistics. The two most widely used variants are Metropolis-Hastings, which proposes moves from a general proposal distribution, and Gibbs sampling, which draws each parameter in turn from its full conditional distribution.
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  1. v1
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ScholarGateCompară metode: Spatial Monte Carlo Simulation · Markov Chain Monte Carlo. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare