Large sample properties of the matrix exponential spatial specification with an application to FDI
This paper studies large sample properties of the matrix exponential spatial specification (MESS). We find that the quasi-maximum likelihood estimator (QMLE) for the MESS is consistent under heteroskedasticity, a property not shared by the QMLE of the SAR model. For the general model that has MESS in both the dependent variable and disturbances, labeled MESS(1,1), the QMLE can be consistent under unknown heteroskedasticity when the spatial weights matrices in the two MESS processes are commutative. We also consider the generalized method of moments estimator (GMME). In the homoskedastic case, we derive a best GMME that is as efficient as the maximum likelihood estimator under normality and can be asymptotically more efficient than the QMLE under non-normality. In the heteroskedastic case, an optimal GMME can be more efficient than the QMLE asymptotically. The QML approach for the MESS model has the computational advantage over that of a SAR model. The computational simplicity carries over to MESS models with any finite order of spatial matrices. No parameter range needs to be imposed in order for the model to be stable. Results of Monte Carlo experiments for finite sample properties of the estimators are reported. Finally, the MESS(1,1) is applied to Belgium's outward FDI data and we observe that the dominant motivation of Belgium's outward FDI lies in finding cheaper factor inputs.
|Date of creation:||04 Sep 2013|
|Date of revision:|
|Note:||View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00858174|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
- Lin, Xu & Lee, Lung-fei, 2010. "GMM estimation of spatial autoregressive models with unknown heteroskedasticity," Journal of Econometrics, Elsevier, vol. 157(1), pages 34-52, July.
- 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.
- Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2007.
"Estimating Regional Trade Agreement Effects on FDI in an Interdependent World,"
Center for Policy Research Working Papers
100, Center for Policy Research, Maxwell School, Syracuse University.
- Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2008. "Estimating regional trade agreement effects on FDI in an interdependent world," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 194-208, July.
- Blonigen, Bruce A. & Davies, Ronald B. & Waddell, Glen R. & Naughton, Helen T., 2007.
"FDI in space: Spatial autoregressive relationships in foreign direct investment,"
European Economic Review,
Elsevier, vol. 51(5), pages 1303-1325, July.
- Bruce A. Blonigen & Ronald B. Davies & Glen R. Waddell & Helen T. Naughton, 2004. "FDI in Space: Spatial Autoregressive Relationships in Foreign Direct Investment," NBER Working Papers 10939, National Bureau of Economic Research, Inc.
- J. Barkley Rosser, 2009. "Introduction," Chapters, in: Handbook of Research on Complexity, chapter 1 Edward Elgar.
- Nicolas DEBARSY (CERPE De Namur) & Cem ERTUR, 2009.
"Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model,"
1546, Orleans Economic Laboratorys, University of Orleans.
- Debarsy, Nicolas & Ertur, Cem, 2010. "Testing for spatial autocorrelation in a fixed effects panel data model," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 453-470, November.
- Nicolas Debarsy & Cem Ertur, 2009. "Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model," Post-Print halshs-00414133, HAL.
- G�ran Therborn & K.C. Ho, 2009. "Introduction," City, Taylor & Francis Journals, vol. 13(1), pages 53-62, March.
- Lee, Lung-fei, 2007. "GMM and 2SLS estimation of mixed regressive, spatial autoregressive models," Journal of Econometrics, Elsevier, vol. 137(2), pages 489-514, April.
- 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.
- Elhorst, J. Paul & Lacombe, Donald J. & Piras, Gianfranco, 2012. "On model specification and parameter space definitions in higher order spatial econometric models," Regional Science and Urban Economics, Elsevier, vol. 42(1-2), pages 211-220.
- White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
- Jin, Fei & Lee, Lung-fei, 2012. "Approximated likelihood and root estimators for spatial interaction in spatial autoregressive models," Regional Science and Urban Economics, Elsevier, vol. 42(3), pages 446-458.
- Davies, Ronald B., 2005.
"Fragmentation of headquarter services and FDI,"
The North American Journal of Economics and Finance,
Elsevier, vol. 16(1), pages 61-79, March.
- Ronald B. Davies, 2003. "Fragmentation of Headquarter Services and FDI," University of Oregon Economics Department Working Papers 2003-25, University of Oregon Economics Department, revised 01 Sep 2003.
- Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2007.
"Estimating models of complex FDI: Are there third-country effects?,"
Journal of Econometrics,
Elsevier, vol. 140(1), pages 260-281, September.
- Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2005. "Estimating Models of Complex FDI: Are There Third-Country Effects?," Center for Policy Research Working Papers 73, Center for Policy Research, Maxwell School, Syracuse University.
- Breusch, Trevor & Qian, Hailong & Schmidt, Peter & Wyhowski, Donald, 1999. "Redundancy of moment conditions," Journal of Econometrics, Elsevier, vol. 91(1), pages 89-111, July.
- Cletus C. Coughlin & Eran Segev, 2000.
"Foreign Direct Investment in China: A Spatial Econometric Study,"
The World Economy,
Wiley Blackwell, vol. 23(1), pages 1-23, 01.
- Cletus C. Coughlin & Eran Segev, 1999. "Foreign direct investment in China: a spatial econometric study," Working Papers 1999-001, Federal Reserve Bank of St. Louis.
- 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.
When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-00858174. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.