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Best linear and quadratic moments for spatial econometric models with an application to spatial interdependence patterns of employment growth in US counties

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  • Fei Jin
  • Lung‐fei Lee
  • Kai Yang

Abstract

We provide a novel analytic procedure to construct best linear and quadratic moments of the generalized method of moments estimation for a large class of cross‐sectional network and spatial econometric models. These moments generate an estimator that is asymptotically more efficient than the quasi‐maximum likelihood estimator when the disturbances follow a non‐normal and unknown distribution. We apply this procedure to a high‐order spatial autoregressive model with spatial errors, where the disturbances are heteroskedastic. Two normality tests of disturbances are developed. We apply the model to employment data in US counties, which demonstrates spatial interdependence patterns of regional employment growth.

Suggested Citation

  • Fei Jin & Lung‐fei Lee & Kai Yang, 2024. "Best linear and quadratic moments for spatial econometric models with an application to spatial interdependence patterns of employment growth in US counties," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(4), pages 640-658, June.
    • Handle: RePEc:wly:japmet:v:39:y:2024:i:4:p:640-658
    DOI: 10.1002/jae.3046
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