Maximum Likelihood and Generalized Spatial Two-Stage Least-Squares Estimators for a Spatial-Autoregressive Model with Spatial-Autoregressive Disturbances
Free accessResearch articleFirst published online July, 2013
Maximum Likelihood and Generalized Spatial Two-Stage Least-Squares Estimators for a Spatial-Autoregressive Model with Spatial-Autoregressive Disturbances
We describe the spreg command, which implements a maximum likelihood estimator and a generalized spatial two-stage least-squares estimator for the parameters of a linear cross-sectional spatial-autoregressive model with spatial-autoregressive disturbances.
AbreuM., De GrootH. L. F., and FloraxR. J. G. M.2004. Space and growth: A survey of empirical evidence and methods. Working Paper TI 04-129/3, Tinbergen Institute.
2.
AnselinL.1988. Spatial Econometrics: Methods and Models.Dordrecht: Kluwer Academic Publishers.
3.
AnselinL.2003. Spatial externalities, spatial multipliers, and spatial econometrics. International Regional Science Review26: 153–166.
4.
AnselinL.2010. Thirty years of spatial econometrics. Papers in Regional Science89: 3–25.
5.
AnselinL., and FloraxR. J. G. M.1995. Small sample properties of tests for spatial dependence in regression models: Some further results. In New Directions in Spatial Econometrics, ed. AnselinL., and FloraxR. J. G. M., 21–74. Berlin: Springer.
6.
ArbiaG.2006. Spatial Econometrics: Statistical Foundations and Applications to Regional Convergence.Berlin: Springer.
7.
ArraizI., DrukkerD. M., KelejianH. H., and PruchaI. R.2010. A spatial Cliff-Ord-type model with heteroskedastic innovations: Small and large sample results. Journal of Regional Science50: 592–614.
8.
CliffA. D., and OrdJ. K.1973. Spatial Autocorrelation.London: Pion.
9.
CliffA. D., and OrdJ. K.1981. Spatial Processes: Models and Applications.London: Pion.
10.
CressieN. A. C.1993. Statistics for Spatial Data.Revised ed. New York: Wiley.
11.
DrukkerD. M., EggerP., and PruchaI. R.2013. On two-step estimation of a spatial autoregressive model with autoregressive disturbances and endogenous regressors. Econometric Reviews32: 686–733.
12.
DrukkerD. M., PengH., PruchaI. R., and RaciborskiR.2013. Creating and managing spatial-weighting matrices with the spmat command. Stata Journal13: 242–286.
13.
DrukkerD. M., PruchaI. R., and RaciborskiR.2013. A command for estimating spatial-autoregressive models with spatial-autoregressive disturbances and additional endogenous variables. Stata Journal13: 287–301.
14.
HainingR.2003. Spatial Data Analysis: Theory and Practice.Cambridge: Cambridge University Press.
15.
KelejianH. H., and PruchaI. R.1998. A generalized spatial two-stage least squares procedure for estimating a spatial autoregressive model with autoregressive disturbances. Journal of Real Estate Finance and Economics17: 99–121.
16.
KelejianH. H., and PruchaI. R.1999. A generalized moments estimator for the autoregressive parameter in a spatial model. International Economic Review40: 509–533.
17.
KelejianH. H., and PruchaI. R.2007. The relative efficiencies of various predictors in spatial econometric models containing spatial lags. Regional Science and Urban Economics37: 363–374.
18.
KelejianH. H., and PruchaI. R.2010. Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances. Journal of Econometrics157: 53–67.
19.
KelejianH. H., PruchaI. R., and YuzefovichY.2004. Instrumental variable estimation of a spatial autoregressive model with autoregressive disturbances: Large and small sample results. In Spatial and Spatiotemporal Econometrics, ed. LeSageJ. P., and PaceR. K., 163–198. New York: Elsevier.
20.
LeeL.-F.2003. Best spatial two-stage least squares estimators for a spatial autoregressive model with autoregressive disturbances. Econometric Reviews22: 307–335.
21.
LeeL.-F.2004. Asymptotic distributions of quasi-maximum likelihood estimators for spatial autoregressive models. Econometrica72: 1899–1925.
22.
LeSageJ., and PaceR. K.2009. Introduction to Spatial Econometrics.Boca Raton: Chapman & Hall/CRC.
23.
PowersE. L., and WilsonJ. K.2004. Access denied: The relationship between alcohol prohibition and driving under the influence. Sociological Inquiry74: 318–337.
24.
WhittleP.1954. On stationary processes in the plane. Biometrika41: 434–449.
