Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/68519 
Year of Publication: 
2012
Series/Report no.: 
Reihe Ökonomie / Economics Series No. 294
Publisher: 
Institute for Advanced Studies (IHS), Vienna
Abstract: 
System of panel models are popular models in applied sciences and the question of spatial errors has created the recent demand for spatial system estimation of panel models. Therefore we propose new diagnostic methods to explore if the spatial component will change significantly the outcome of non-spatial estimates of seemingly unrelated regression (SUR) systems. We apply a local sensitivity approach to study the behavior of generalized least squares (GLS) estimators in two spatial autoregression SUR system models: a SAR model with SUR errors (SAR-SUR) and a SUR model with spatial errors (SUR-SEM). Using matrix derivative calculus we establish a sensitivity matrix for spatial panel models and we show how a first order Taylor approximation of the GLS estimators can be used to approximate the GLS estimators in spatial SUR models. In a simulation study we demonstrate the good quality of our approximation results.
Subjects: 
seemingly unrelated regression models
panel systems with spatial errors
SAR and SEM models
generalized least-squares estimators
Taylor approximations
JEL: 
G14
G15
C22
Document Type: 
Working Paper

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