Spatial system estimators for panel models: A sensitivity and simulation study

Shuangzhe Liu, Tiefeng Ma and Wolfgang Polasek

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 101, issue C, 78-102

Abstract: Panel models are popular models in applied sciences and the question of spatial errors has recently created the demand for spatial system estimation of panel models. In this paper we propose new diagnostic methods to explore if and how the spatial components will make significant differences of spatial estimates from non-spatial estimates of seemingly unrelated regression (SUR) systems. We apply a local sensitivity approach to study the behavior of spatial ordinary or generalized least-squares estimators in two spatial SUR system models: a spatial autoregressive regression model with SUR errors and a SUR model with spatial errors. Using matrix differential calculus we establish a sensitivity matrix for the spatial panel models. We show how a first-order Taylor approximation based on the non-spatial ordinary or generalized least-squares estimators can be used to approximate the least-squares estimators in spatial SUR models. In a simulation study we examine the approximation results and demonstrate their quality. We also try to find whether the SUR variance or the neighbourhood weight matrix has more impact on the estimates and their approximations.

Keywords: Generalized and ordinary least-squares estimators; Panel systems with spatial components; Seemingly unrelated regression models; Spatial autoregressive regression and spatial error models; Taylor approximations (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Working Paper: Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study (2013)
Working Paper: Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study (2012)
Working Paper: Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:101:y:2014:i:c:p:78-102

DOI: 10.1016/j.matcom.2014.03.003

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