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Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study

Author

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  • Shuangzhe Liu

    (University of Canberra, Australia)

  • Tiefeng Ma

    (Southwestern University of Finance and Economics, China)

  • Wolfgang Polasek

    (Institute for Advanced Studies, Austria)

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.

Suggested Citation

  • Shuangzhe Liu & Tiefeng Ma & Wolfgang Polasek, 2013. "Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study," Working Paper series 05_13, Rimini Centre for Economic Analysis.
    • Handle: RePEc:rim:rimwps:05_13
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    Cited by:

    1. Xiaowen Dai & Libin Jin & Lei Shi & Cuiping Yang & Shuangzhe Liu, 2016. "Local influence analysis in general spatial models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(3), pages 313-331, July.
    2. Liu, Shuangzhe & Leiva, Víctor & Zhuang, Dan & Ma, Tiefeng & Figueroa-Zúñiga, Jorge I., 2022. "Matrix differential calculus with applications in the multivariate linear model and its diagnostics," Journal of Multivariate Analysis, Elsevier, vol. 188(C).

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    More about this item

    Keywords

    Seemingly unrelated regression models; panel systems with spatial errors; SAR and SEM models; generalized least-squares estimators; Taylor approximations;
    All these keywords.

    JEL classification:

    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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