IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_2485.html
   My bibliography  Save this paper

A Spatial Cliff-Ord-type Model with Heteroskedastic Innovations: Small and Large Sample Results

Author

Listed:
  • Irani Arraiz
  • David M. Drukker
  • Harry H. Kelejian
  • Ingmar R. Prucha

Abstract

In this paper we specify a linear Cliff and Ord-type spatial model. The model allows for spatial lags in the dependent variable, the exogenous variables, and disturbances. The innovations in the disturbance process are assumed to be heteroskedastic with an unknown form. We formulate a multi-step GMM/IV type estimation procedure for the parameters of the model. We then establish the limiting distribution of our suggested estimators, and give consistent estimators for their asymptotic variance covariance matrices, utilizing results given in Kelejian and Prucha (2007b). Monte Carlo results are given which suggest that the derived large sample distribution provides a good approximation to the actual small sample distribution of our estimators.

Suggested Citation

  • Irani Arraiz & David M. Drukker & Harry H. Kelejian & Ingmar R. Prucha, 2008. "A Spatial Cliff-Ord-type Model with Heteroskedastic Innovations: Small and Large Sample Results," CESifo Working Paper Series 2485, CESifo.
  • Handle: RePEc:ces:ceswps:_2485
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp2485.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Julie Le Gallo & Sandy Dall’erba, 2006. "Evaluating the Temporal and Spatial Heterogeneity of the European Convergence Process, 1980–1999," Journal of Regional Science, Wiley Blackwell, vol. 46(2), pages 269-288, May.
    2. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    3. Holtz-Eakin, Douglas, 1994. "Public-Sector Capital and the Productivity Puzzle," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 12-21, February.
    4. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
    5. Kelejian, Harry H. & Prucha, Ingmar R., 2007. "HAC estimation in a spatial framework," Journal of Econometrics, Elsevier, vol. 140(1), pages 131-154, September.
    6. Luc Anselin & Julie Le Gallo, 2006. "Interpolation of Air Quality Measures in Hedonic House Price Models: Spatial Aspects This paper is part of a joint research effort with James Murdoch (University of Texas, Dallas) and Mark Thayer (San," Spatial Economic Analysis, Taylor & Francis Journals, vol. 1(1), pages 31-52.
    7. Kathleen P. Bell & Nancy E. Bockstael, 2000. "Applying the Generalized-Moments Estimation Approach to Spatial Problems Involving Microlevel Data," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 72-82, February.
    8. Keller, Wolfgang & Shiue, Carol H., 2007. "The origin of spatial interaction," Journal of Econometrics, Elsevier, vol. 140(1), pages 304-332, September.
    9. Marianne Bertrand & Erzo F. P. Luttmer & Sendhil Mullainathan, 2000. "Network Effects and Welfare Cultures," The Quarterly Journal of Economics, Oxford University Press, vol. 115(3), pages 1019-1055.
    10. Jeffrey P. Cohen & Catherine J. Morrison Paul, 2004. "Public Infrastructure Investment, Interstate Spatial Spillovers, and Manufacturing Costs," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 551-560, May.
    11. 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.
    12. 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.
    13. Kelejian, Harry H. & Prucha, Ingmar R., 2004. "Estimation of simultaneous systems of spatially interrelated cross sectional equations," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 27-50.
    14. Cohen, Jeffrey P. & Morrison Paul, Catherine J., 2003. "Airport infrastructure spillovers in a network system," Journal of Urban Economics, Elsevier, vol. 54(3), pages 459-473, November.
    15. Shroder, Mark, 1995. "Games the States Don't Play: Welfare Benefits and the Theory of Fiscal Federalism," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 183-191, February.
    16. Giorgio Topa, 2001. "Social Interactions, Local Spillovers and Unemployment," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 261-295.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Moscone, F. & Tosetti, E., 2011. "GMM estimation of spatial panels with fixed effects and unknown heteroskedasticity," Regional Science and Urban Economics, Elsevier, vol. 41(5), pages 487-497, September.
    2. Monchuk, Daniel C. & Hayes, Dermot J. & Miranowski, John A & Lambert, Dayton M., 2011. "Inference Based on Alternative Bootstrapping Methods in Spatial Models with an Application to County Income Growth in the United States," ISU General Staff Papers 201103240700001526, Iowa State University, Department of Economics.
    3. Lambert, Dayton M. & Florax, Raymond J.G.M. & Cho, Seong-Hoon, 2008. "Bandwidth Selection For Spatial Hac And Other Robust Covariance Estimators," Working papers 44258, Purdue University, Department of Agricultural Economics.
    4. Seong-Hoon Cho & Dayton M. Lambert & Roland K. Roberts, 2010. "Forecasting Open Space with a Two-Rate Property Tax," Land Economics, University of Wisconsin Press, vol. 86(2), pages 263-280.
    5. Stefan Felder & Harald Tauchmann, 2013. "Federal state differentials in the efficiency of health production in Germany: an artifact of spatial dependence?," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 14(1), pages 21-39, February.
    6. Chen, Susan E. & Florax, Raymond J.G.M. & Snyder, Samantha D., 2009. "Obesity in Urban Food Markets: Evidence from Geo-referenced Micro Data," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49512, Agricultural and Applied Economics Association.
    7. Moscone, Francesco & Tosetti, Elisa, 2010. "GMM estimation of Spatial Panels with Fixed Effects," MPRA Paper 20152, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_2485. 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: (Klaus Wohlrabe). General contact details of provider: http://edirc.repec.org/data/cesifde.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.