方法对比

	空间贝叶斯模型平均	贝叶斯模型平均 (Bayesian Model Averaging, BMA)
领域	贝叶斯	贝叶斯
方法族	Bayesian methods	Bayesian methods
起源年份	2008	1999
提出者	LeSage & Fischer (building on Raftery et al. BMA framework, 1997)	Hoeting, Madigan, Raftery & Volinsky
类型	Bayesian model combination with spatial structure	Bayesian model averaging
开创性文献	LeSage, J. P. & Pace, R. K. (2009). Introduction to Spatial Econometrics. CRC Press / Taylor & Francis. ISBN: 978-1420064247	Hoeting, J. A., Madigan, D., Raftery, A. E. & Volinsky, C. T. (1999). Bayesian Model Averaging: A Tutorial. Statistical Science, 14(4), 382–401.
别名	spatial BMA, BMA for spatial data, Bayesian model averaging with spatial effects, spatial model uncertainty averaging	BMA, Bayesian model combination, Bayesian Model Ortalaması (BMA)
相关	5	5
摘要	Spatial Bayesian model averaging (spatial BMA) extends classical BMA to settings where observations are georeferenced and spatial dependence must be modelled. Rather than selecting a single spatial regression model — which spatial weight matrix to use, which regressors to include, which spatial lag or error structure to adopt — it averages the predictions and parameter estimates across all candidate models, weighting each by its posterior probability given the data.	Bayesian Model Averaging (BMA), formalised as a tutorial by Hoeting, Madigan, Raftery and Volinsky in 1999, addresses model uncertainty by averaging over all plausible model specifications rather than selecting a single best model. Each candidate model receives a posterior probability that reflects how well it fits the data given a prior, and predictions or coefficient estimates are formed as weighted averages across the entire model space. This approach reduces the bias and overconfidence that arise when a single selected model is treated as the true one.