GMM estimation of spatial autoregressive models with moving average disturbances

Doğan O., Taşpinar S.

Regional Science and Urban Economics, vol.43, no.6, pp.903-926, 2013 (SSCI) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 6
  • Publication Date: 2013
  • Doi Number: 10.1016/j.regsciurbeco.2013.09.002
  • Journal Name: Regional Science and Urban Economics
  • Journal Indexes: Social Sciences Citation Index (SSCI), Scopus
  • Page Numbers: pp.903-926
  • Keywords: Asymptotics, GMM, SARMA, SMA, Spatial autocorrelation, Spatial dependence, Spatial moving average process
  • Istanbul Technical University Affiliated: Yes


In this paper, we introduce the one-step generalized method of moments (GMM) estimation methods considered in Lee (2007a) and Liu, Lee, and Bollinger (2010) to spatial models that impose a spatial moving average process for the disturbance term. First, we determine the set of best linear and quadratic moment functions for GMM estimation. Second, we show that the optimal GMM estimator (GMME) formulated from this set is the most efficient estimator within the class of GMMEs formulated from the set of linear and quadratic moment functions. Our analytical results show that the one-step GMME can be more efficient than the quasi maximum likelihood (QMLE), when the disturbance term is simply i.i.d. With an extensive Monte Carlo study, we compare its finite sample properties against the MLE, the QMLE and the estimators suggested in Fingleton (2008a). © 2013 Elsevier B.V.