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Heteroskedasticity-consistent covariance matrix estimators for spatial autoregressive models

Author

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  • Süleyman Taşpınar
  • Osman Doğan
  • Anil K. Bera

Abstract

In the presence of heteroskedasticity, conventional test statistics based on the ordinary least squares (OLS) estimator lead to incorrect inference results for the linear regression model. Given that heteroskedasticity is common in cross-sectional data, the test statistics based on various forms of heteroskedasticity-consistent covariance matrices (HCCMs) have been developed in the literature. In contrast to the standard linear regression model, heteroskedasticity is a more serious problem for spatial econometric models, generally causing inconsistent extremum estimators of model coefficients. This paper investigates the finite sample properties of the heteroskedasticity-robust generalized method of moments estimator (RGMME) for a spatial econometric model with an unknown form of heteroskedasticity. In particular, it develops various HCCM-type corrections to improve the finite sample properties of the RGMME and the conventional Wald test. The Monte Carlo results indicate that the HCCM-type corrections can produce more accurate results for inference on model parameters and the impact effects estimates in small samples.

Suggested Citation

  • Süleyman Taşpınar & Osman Doğan & Anil K. Bera, 2019. "Heteroskedasticity-consistent covariance matrix estimators for spatial autoregressive models," Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(2), pages 241-268, April.
    • Handle: RePEc:taf:specan:v:14:y:2019:i:2:p:241-268
    DOI: 10.1080/17421772.2019.1549366
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    Cited by:

    1. 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.
    2. Kelejian, Harry H. & Mukerji, Purba, 2022. "Causal factors of terrorist attacks on countries, and corresponding spill-overs between them," European Journal of Political Economy, Elsevier, vol. 72(C).
    3. Li, Liyao & Yang, Zhenlin, 2020. "Estimation of fixed effects spatial dynamic panel data models with small T and unknown heteroskedasticity," Regional Science and Urban Economics, Elsevier, vol. 81(C).

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