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空间卡尔曼滤波器×空间马尔可夫链蒙特卡洛 (Spatial MCMC)×
领域贝叶斯贝叶斯
方法族Bayesian methodsBayesian methods
起源年份1960 (base); spatial extensions 1990s–2000s1990s
提出者R. E. Kalman (base filter, 1960); extended to spatial settings by Cressie, Wikle and colleaguesGelfand, Smith, and colleagues (early 1990s MCMC for spatial models)
类型Bayesian state-space modelBayesian computational method
开创性文献Cressie, N. & Wikle, C. K. (2011). Statistics for Spatio-Temporal Data. Wiley. ISBN: 978-0-471-69274-4Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173
别名spatial state-space filter, spatio-temporal Kalman filter, SKF, spatial dynamic linear modelspatial Markov chain Monte Carlo, MCMC for spatial data, spatial Bayesian MCMC, geostatistical MCMC
相关64
摘要The spatial Kalman filter applies classical Kalman filtering to spatio-temporal state-space models, treating a spatially distributed latent field as the hidden state that evolves over time. At each time step, the filter recursively predicts the spatial field forward and then updates the prediction with new spatial observations, producing optimal linear estimates of the field and its uncertainty across all locations.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.
ScholarGate数据集
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  2. 2 来源
  3. PUBLISHED
  1. v1
  2. 2 来源
  3. PUBLISHED

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ScholarGate方法对比: Spatial Kalman Filter · Spatial MCMC. 于 2026-06-17 检索自 https://scholargate.app/zh/compare