Compară metode
Examinează metodele selectate una lângă alta; rândurile care diferă sunt evidențiate.
| Simulare Monte Carlo Spațială× | Markov Chain Monte Carlo (MCMC)× | |
|---|---|---|
| Domeniu≠ | Bayesian | Simulare |
| Familie≠ | Bayesian methods | Process / pipeline |
| Anul apariției≠ | 1970s–1980s | 1953 (Metropolis-Hastings); 1984 (Gibbs) |
| Autorul original≠ | B. D. Ripley and the spatial statistics tradition | Metropolis et al. (1953); Gibbs sampler formalised by Geman & Geman (1984) |
| Tip≠ | computational simulation | Simulation-based Bayesian inference / numerical integration |
| Sursa seminală≠ | Ripley, B. D. (1987). Stochastic Simulation. John Wiley & Sons. ISBN: 978-0471818847 | Gelman, 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 alternative | spatial MC simulation, Monte Carlo spatial analysis, stochastic spatial simulation, spatial stochastic simulation | MCMC, Metropolis-Hastings, Gibbs sampling, Markov Zinciri Monte Carlo (MCMC — Metropolis-Hastings, Gibbs) |
| Înrudite≠ | 4 | 5 |
| Rezumat≠ | Spatial 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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