Abstract
Cross-sectional spatial models frequently contain a spatial lag of the dependent variable as a regressor or a disturbance term that is spatially autoregressive. In this article we describe a computationally simple procedure for estimating cross-sectional models that contain both of these characteristics. We also give formal large-sample results.
Similar content being viewed by others
References
Amemiya, T. (1985). Advanced Econometrics. Cambridge, MA: Harvard University Press.
Anselin, L. A. (1982) “New Look at Statistical Model Identification,” IEEE Transactions on Automatic Control AC 19, 716-723.
Anselin, L. (1988). Spatial Econometrics: Methods and Models. Boston: Kluwer.
Anselin, L. (1990). “Some Robust Approaches to Testing and Estimation in Spatial Econometrics,” Regional Science and Urban Economics 20, 141-163.
Anselin, L., A. Bera, R. Florax, and M. Yoon. (1994). “Simple Diagnostic Tests for Spatial Dependence,” Regional Science and Urban Economics 26, 77-104.
Anselin, L., and S. Rey. (1991). “Properties of Tests for Spatial Dependence in Linear Regression Models,” Geographical Analysis 23, 110-131.
Bell, K., and N. Bockstael. (1997). “Applying the Generalized Method of Moments Approach to Spatial Problems Involving Micro-Level Data.” Department of Agricultural and Resource Economics Working Paper 97-03, University of Maryland.
Bierens, H. J. (1981). Robust Methods and Asymptotic Theory in Nonlinear Econometrics. Lecture Notes in Economics and Mathematical Systems 192. New York: Springer-Verlag.
Blommestein, H. (1983). “Specification and Estimation of Spatial Econometric Models,” Regional Science and Urban Economics 13, 251-270.
Case, A. (1991). “Spatial Patterns in Household Demand,” Econometrica 59, 953-966.
Case, A. (1992). “Neighborhood Influence and Technological Change,” Regional Science and Urban Economics 22, 491-508.
Case, A., J. Hines, Jr., and H. Rosen. (1993). “Budget Spillovers and Fiscal Policy Independence; Evidence from the States,” Journal of Public Economics 52, 285-307.
Horn, R., and C. Johnson. (1985). Matrix Analysis. New York: Cambridge University Press.
Kelejian, H. H., and D. Robinson. (1993). “A Suggested Method of Estimation for Spatial Interdependent Models with Autocorrelated Errors, and an Application to a County Expenditure Model,” Papers in Regional Science 72, 297-312.
Kelejian, H. H., and I. R. Prucha. (1995). “A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model.” Department of Economics, University of Maryland, Working Paper 95-03 (forthcoming in International Economic Review).
Ord, J. (1975). “Estimation Methods for Models of Spatial Interaction,” Journal of the American Statistical Association 70, 120-126.
Pace, R., and R. Barry. (1996). “Sparse Spatial Autoregressions,” Statistics and Probability Letters 2158, 1-7.
Pötscher, B. M., and I. R. Prucha. (1997). Dynamic Nonlinear Econometric Models, Asymptotic Theory. New York: Springer Verlag.
Schmidt, P. (1976). Econometrics. New York: Marcel Dekker.
Whittle, P. (1954). “On Stationary Processes in the Plane,” Biometrica 41, 434-449.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kelejian, H.H., Prucha, I.R. 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 17, 99–121 (1998). https://doi.org/10.1023/A:1007707430416
Issue Date:
DOI: https://doi.org/10.1023/A:1007707430416