Methoden vergleichen

	Räumliche Bayes'sche Modell-Mittelung	Hierarchische Bayes'sche Inferenz
Fachgebiet	Bayes-Statistik	Bayes-Statistik
Familie	Bayesian methods	Bayesian methods
Entstehungsjahr	2008	1972 (Lindley & Smith); consolidated 1995–2013
Urheber	LeSage & Fischer (building on Raftery et al. BMA framework, 1997)	Lindley & Smith; Gelman et al.
Typ	Bayesian model combination with spatial structure	Bayesian multilevel model
Wegweisende Quelle	LeSage, J. P. & Pace, R. K. (2009). Introduction to Spatial Econometrics. CRC Press / Taylor & Francis. ISBN: 978-1420064247	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Aliasnamen	spatial BMA, BMA for spatial data, Bayesian model averaging with spatial effects, spatial model uncertainty averaging	multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
Verwandt	5	6
Zusammenfassung	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.	Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate.