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

  • Liu, Shuangzhe

    (University of Canberra, Canberra, Australia)

  • Ma, Tiefeng

    (Statistics College, Southwestern University of Finance and Economics, Chengdu, China)

  • Polasek, Wolfgang

    (Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria)

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.

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File URL: http://www.ihs.ac.at/publications/eco/es-291.pdf
File Function: First version, 2012
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Paper provided by Institute for Advanced Studies in its series Economics Series with number 294.

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Length: 29 pages
Date of creation: Dec 2012
Date of revision:
Handle: RePEc:ihs:ihsesp:294
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  1. Liu, Shuangzhe & Polasek, Wolfgang & Sellner, Richard, 2011. "Sensitivity Analysis of SAR Estimators," Economics Series 262, Institute for Advanced Studies.
  2. Lee, Lung-fei & Yu, Jihai, 2010. "Some recent developments in spatial panel data models," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 255-271, September.
  3. Berkelaar, Arjan & Kouwenberg, Roy, 2009. "From boom 'til bust: How loss aversion affects asset prices," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1005-1013, June.
  4. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  5. Francisco J. Gomes, 2005. "Portfolio Choice and Trading Volume with Loss-Averse Investors," The Journal of Business, University of Chicago Press, vol. 78(2), pages 675-706, March.
  6. Kakamu, Kazuhiko & Polasek, Wolfgang & Wago, Hajime, 2008. "Spatial interaction of crime incidents in Japan," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(2), pages 276-282.
  7. J. Barkley Rosser, 2009. "Introduction," Chapters, in: Handbook of Research on Complexity, chapter 1 Edward Elgar.
  8. James Paul Lesage & Wolfgang Polasek, 2008. "Incorporating Transportation Network Structure in Spatial Econometric Models of Commodity Flows," Spatial Economic Analysis, Taylor & Francis Journals, vol. 3(2), pages 225-245.
  9. Nicholas Barberis, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," Journal of Finance, American Finance Association, vol. 56(4), pages 1247-1292, 08.
  10. Schmidt, Ulrich & Starmer, Chris & Sugden, Robert, 2008. "Third-generation prospect theory," Open Access Publications from Kiel Institute for the World Economy 28932, Kiel Institute for the World Economy (IfW).
  11. André Lucas & Arjen Siegmann, 2008. "The Effect of Shortfall as a Risk Measure for Portfolios with Hedge Funds," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 35(1-2), pages 200-226.
  12. Siegmann, Arjen, 2007. "Optimal investment policies for defined benefit pension funds," Journal of Pension Economics and Finance, Cambridge University Press, vol. 6(01), pages 1-20, March.
  13. Jan R. Magnus & Andrey L. Vasnev, 2007. "Local sensitivity and diagnostic tests," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 166-192, 03.
  14. repec:umd:umdeco:kelepruc is not listed on IDEAS
  15. G�ran Therborn & K.C. Ho, 2009. "Introduction," City, Taylor & Francis Journals, vol. 13(1), pages 53-62, March.
  16. De Giorgi, Enrico & Hens, Thorsten, 2005. "Making Prospect Theory Fit for Finance," Discussion Papers 2005/19, Department of Business and Management Science, Norwegian School of Economics.
  17. L. Epstein & S. Zin, 2010. "First order risk aversion and the equity premium puzzle," Levine's Working Paper Archive 1400, David K. Levine.
  18. Fortin, Ines & Hlouskova, Jaroslava, 2010. "Optimal Asset Allocation Under Linear Loss Aversion," Economics Series 257, Institute for Advanced Studies.
  19. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, 03.
  20. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
  21. Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," NBER Working Papers 8190, National Bureau of Economic Research, Inc.
  22. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
  23. Liu, Shuangzhe & Neudecker, Heinz, 2009. "On pseudo maximum likelihood estimation for multivariate time series models with conditional heteroskedasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2556-2565.
  24. Hlouskova, Jaroslava & Tsigaris, Panagiotis, 2012. "Capital Income Taxation and Risk Taking under Prospect Theory," Economics Series 283, Institute for Advanced Studies.
  25. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  26. Kelejian, Harry H. & Prucha, Ingmar R., 2007. "HAC estimation in a spatial framework," Journal of Econometrics, Elsevier, vol. 140(1), pages 131-154, September.
  27. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  28. repec:wop:ubisop:0081 is not listed on IDEAS
  29. Lung-fei Lee, 2003. "Best Spatial Two-Stage Least Squares Estimators for a Spatial Autoregressive Model with Autoregressive Disturbances," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 307-335.
  30. Harry H. Kelejian & Ingmar R. Prucha, 1997. "Estimation of Spatial Regression Models with Autoregressive Errors by Two Stage Least Squares Procedures: A Serious Problem," Electronic Working Papers 97-001, University of Maryland, Department of Economics.
  31. Kazuhiko Kakamu & Wolfgang Polasek & Hajime Wago, 2012. "Production technology and agglomeration for Japanese prefectures during 1991–2000," Papers in Regional Science, Wiley Blackwell, vol. 91(1), pages 29-41, 03.
  32. Neudecker, Heinz & Polasek, Wolfgang & Liu, Shuangzhe, 1995. "The heteroskedastic linear regression model and the Hadamard product a note," Journal of Econometrics, Elsevier, vol. 68(2), pages 361-366, August.
  33. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
  34. Hwang, Soosung & Satchell, Steve E., 2010. "How loss averse are investors in financial markets?," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2425-2438, October.
  35. Xue Dong He & Xun Yu Zhou, 2011. "Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment," Management Science, INFORMS, vol. 57(2), pages 315-331, February.
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