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| 空間ブートストラップシミュレーション× | Spatial MCMC× | |
|---|---|---|
| 分野 | ベイズ | ベイズ |
| 系統 | Bayesian methods | Bayesian methods |
| 提唱年≠ | 1990s–2000s | 1990s |
| 提唱者≠ | Lahiri and others, building on Efron's bootstrap (1979) | Gelfand, Smith, and colleagues (early 1990s MCMC for spatial models) |
| 種類≠ | Resampling / simulation | Bayesian computational method |
| 原典≠ | Lahiri, S. N. (2003). Resampling Methods for Dependent Data. Springer. ISBN: 978-0387009285 | Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173 |
| 別名 | spatial block bootstrap, spatial resampling, geostatistical bootstrap, bootstrap for spatial data | spatial Markov chain Monte Carlo, MCMC for spatial data, spatial Bayesian MCMC, geostatistical MCMC |
| 関連 | 4 | 4 |
| 概要≠ | Spatial bootstrap simulation is a resampling technique designed for spatially dependent data. By resampling contiguous spatial blocks rather than independent observations, it preserves the local autocorrelation structure of the data and yields valid estimates of sampling variability for statistics computed on geographic or lattice observations. | 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. |
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