Efficiency of the OLS estimator in the vicinity of a spatial unit root

Federico Martellosio

Previous results have indicated that the OLS estimator of the vector of regression coefficients can be nearly as efficient as the best linear unbiased estimator when the regression errors follow a spatial process with root in the vicinity of unity. Such results were derived under the assumption of a symmetric weights matrix, which simplifies the analysis considerably, but is very often not satisfied in applications. This paper provides nontrivial generalizations to the important case of nonsymmetric weights matrices.

Mots clés: Efficiency of OLS; Linear regression; Spatial autocorrelation; Spatial unit root

Domaines: Bio-informatique [q-bio.QM]; Bio-Informatique, Biologie Systémique [q-bio.QM]

Federico Martellosio. Efficiency of the OLS estimator in the vicinity of a spatial unit root. Statistics and Probability Letters, 2011, ⟨10.1016/j.spl.2011.03.030⟩. ⟨hal-00753942⟩