قارن الطرق

	نموذج الخطأ المكاني البيزي	نموذج الانحدار الذاتي المكاني البيزي (BSLM)
المجال	التحليل المكاني	التحليل المكاني
العائلة	Regression model	Regression model
سنة النشأة	1988 (classical SEM); 2009 (Bayesian formulation)	1997
صاحب الطريقة	LeSage & Pace (Bayesian treatment); Anselin (classical SEM)	LeSage (1997); fully elaborated in LeSage & Pace (2009)
النوع	Bayesian spatial regression	Bayesian spatial regression
المصدر التأسيسي	LeSage, J. P., & Pace, R. K. (2009). Introduction to Spatial Econometrics. CRC Press / Taylor & Francis. ISBN: 978-1420064247	LeSage, J. P., & Pace, R. K. (2009). Introduction to Spatial Econometrics. CRC Press / Taylor & Francis. ISBN: 978-1420064247
الأسماء البديلة	Bayesian SEM, Bayesian spatial-error regression, BSEM spatial econometrics, Bayesian spatially correlated error model	Bayesian SAR model, Bayesian spatial autoregressive model, BSLM, Bayesian SLM
ذات صلة	6	5
الملخص	The Bayesian Spatial Error Model (Bayesian SEM) estimates a regression in which spatially correlated disturbances are explicitly modelled through a spatial weights matrix, while all parameters — regression coefficients, spatial error autocorrelation, and error variance — receive full posterior distributions via Bayesian inference rather than point estimates.	The Bayesian Spatial Lag Model (BSLM) extends the classical spatial autoregressive (SAR) regression by placing prior distributions over all parameters and recovering full posterior distributions via MCMC sampling. It explicitly accounts for spatial dependence — the outcome in one location is partly driven by outcomes in neighboring locations — and yields uncertainty-quantified estimates of both regression coefficients and the spatial autocorrelation parameter rho.