Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study
AbstractSystem 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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Bibliographic InfoPaper provided by Institute for Advanced Studies in its series Economics Series with number 294.
Length: 29 pages
Date of creation: Dec 2012
Date of revision:
Postal: Institute for Advanced Studies - Library, Stumpergasse 56, A-1060 Vienna, Austria
Other versions of this item:
- Shuangzhe Liu & Tiefeng Ma & Wolfgang Polasek, 2013. "Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study," Working Paper Series 05_13, The Rimini Centre for Economic Analysis.
- Shuangzhe Liu & Tiefeng Ma & Wolfgang Polasek, 2012. "Spatial System Estimators for Panel Models: A Sensitivity and Simulation Study," Working Paper Series 75_12, The Rimini Centre for Economic Analysis.
- 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 &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-07 (All new papers)
- NEP-ECM-2013-01-07 (Econometrics)
- NEP-URE-2013-01-07 (Urban & Real Estate Economics)
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- De Giorgi, Enrico & Hens, Thorsten, 2005.
"Making Prospect Theory Fit for Finance,"
2005/19, Department of Business and Management Science, Norwegian School of Economics.
- 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.
- Berkelaar, A.B. & Kouwenberg, R.R.P., 2000. "From boom til bust: how loss aversion affects asset prices," Econometric Institute Research Papers EI 2000-21/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- 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.
- 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.
- Arjen Siegmann, 2003. "Optimal Investment Policies for Defined Benefit Pension Funds," DNB Staff Reports (discontinued) 112, Netherlands Central Bank.
- A.H. Siegmann, 2003. "Optimal Investment Policies for Defined Benefit Pension Funds," WO Research Memoranda (discontinued) 728, Netherlands Central Bank, Research Department.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- 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.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- L. Epstein & S. Zin, 2010.
"First order risk aversion and the equity premium puzzle,"
Levine's Working Paper Archive
1400, David K. Levine.
- Epstein, Larry G. & Zin, Stanley E., 1990. "'First-order' risk aversion and the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 26(3), pages 387-407, December.
- Fortin, Ines & Hlouskova, Jaroslava, 2011.
"Optimal asset allocation under linear loss aversion,"
Journal of Banking & Finance,
Elsevier, vol. 35(11), pages 2974-2990, November.
- Fortin, Ines & Hlouskova, Jaroslava, 2010. "Optimal Asset Allocation Under Linear Loss Aversion," Economics Series 257, Institute for Advanced Studies.
- Hlouskova, Jaroslava & Tsigaris, Panagiotis, 2012.
"Capital Income Taxation and Risk Taking under Prospect Theory,"
283, Institute for Advanced Studies.
- Jaroslava Hlouskova & Panagiotis Tsigaris, 2012. "Capital income taxation and risk taking under prospect theory," International Tax and Public Finance, Springer, vol. 19(4), pages 554-573, August.
- LeSage, James P. & Polasek, Wolfgang, 2006.
"Incorporating Transportation Network Structure in Spatial Econometric Models of Commodity Flows,"
188, Institute for Advanced Studies.
- 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.
- repec:wop:ubisop:0081 is not listed on IDEAS
- Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, 03.
- 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.
- Ulrich Schmidt & Chris Starmer & Robert Sugden, 2008.
"Third-generation prospect theory,"
Journal of Risk and Uncertainty,
Springer, vol. 36(3), pages 203-223, June.
- 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).
- 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.
- 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.
- 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.
- Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," NBER Working Papers 8190, National Bureau of Economic Research, Inc.
- Liu, Shuangzhe & Polasek, Wolfgang & Sellner, Richard, 2011. "Sensitivity Analysis of SAR Estimators," Economics Series 262, Institute for Advanced Studies.
- 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.
- 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.
- 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.
- Nicholas Barberis, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," Journal of Finance, American Finance Association, vol. 56(4), pages 1247-1292, 08.
- G�ran Therborn & K.C. Ho, 2009. "Introduction," City, Taylor & Francis Journals, vol. 13(1), pages 53-62, March.
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