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Asymptotics of improved generalized moment estimators for spatial autoregressive error models. (English) Zbl 1338.62062

Summary: This article considers linear models with a spatial autoregressive error structure. Extending M. Arnold and D. Wied [Econ. Lett. 108, No. 1, 65–68 (2010; Zbl 1201.62098)], who develop an improved generalized method of moment (GMM) estimator for the parameters of the disturbance process to reduce the bias of existing estimation approaches, we establish the asymptotic normality of a new weighted version of this improved estimator and derive the efficient weighting matrix. We also show that this efficiently weighted GMM estimator is feasible as long as the regression matrix of the underlying linear model is non stochastic and illustrate the performance of the new estimator by a Monte Carlo simulation and an application to real data.

MSC:

62E20 Asymptotic distribution theory in statistics
62J05 Linear regression; mixed models

Citations:

Zbl 1201.62098
Full Text: DOI

References:

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