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Spatial heteroskedasticity and autocorrelation consistent estimation of covariance matrix

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  • Kim, Min Seong
  • Sun, Yixiao

Abstract

This paper considers spatial heteroskedasticity and autocorrelation consistent (spatial HAC) estimation of covariance matrices of parameter estimators. We generalize the spatial HAC estimator introduced by Kelejian and Prucha (2007) to apply to linear and nonlinear spatial models with moment conditions. We establish its consistency, rate of convergence and asymptotic truncated mean squared error (MSE). Based on the asymptotic truncated MSE criterion, we derive the optimal bandwidth parameter and suggest its data dependent estimation procedure using a parametric plug-in method. The finite sample performances of the spatial HAC estimator are evaluated via Monte Carlo simulation.

Suggested Citation

  • Kim, Min Seong & Sun, Yixiao, 2011. "Spatial heteroskedasticity and autocorrelation consistent estimation of covariance matrix," Journal of Econometrics, Elsevier, vol. 160(2), pages 349-371, February.
  • Handle: RePEc:eee:econom:v:160:y:2011:i:2:p:349-371
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    References listed on IDEAS

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    1. Yixiao Sun & Peter C. B. Phillips & Sainan Jin, 2008. "Optimal Bandwidth Selection in Heteroskedasticity-Autocorrelation Robust Testing," Econometrica, Econometric Society, vol. 76(1), pages 175-194, January.
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    9. Kelejian, Harry H. & Prucha, Ingmar R., 2007. "HAC estimation in a spatial framework," Journal of Econometrics, Elsevier, vol. 140(1), pages 131-154, September.
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    Cited by:

    1. repec:rri:wpaper:201303 is not listed on IDEAS
    2. Mullally, Conner, 2011. "Development in the Midst of Drought: Evaluating an Agricultural Extension and Credit Program in Nicaragua," 2011 Annual Meeting, July 24-26, 2011, Pittsburgh, Pennsylvania 109664, Agricultural and Applied Economics Association.
    3. A Salim, Ruhu & Mahfuz Kabir, Mohammad, 2011. "Does More Trade Potential Remain in Arab States of the Gulf ?," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 26, pages 217-243.
    4. Kim, Min Seong & Sun, Yixiao, 2013. "Heteroskedasticity and spatiotemporal dependence robust inference for linear panel models with fixed effects," Journal of Econometrics, Elsevier, vol. 177(1), pages 85-108.
    5. repec:rri:wpaper:201302 is not listed on IDEAS
    6. Harry H. Kelejian & Gianfranco Piras, 2013. "A J-Test for Panel Models with Fixed Effects, Spatial and Time," Working Papers Working Paper 2013-03, Regional Research Institute, West Virginia University.
    7. Yixiao Sun & Min Seong Kim, 2015. "Asymptotic F-Test in a GMM Framework with Cross-Sectional Dependence," The Review of Economics and Statistics, MIT Press, vol. 97(1), pages 210-233, March.
    8. Han, Heejoon & Linton, Oliver & Oka, Tatsushi & Whang, Yoon-Jae, 2016. "The cross-quantilogram: Measuring quantile dependence and testing directional predictability between time series," Journal of Econometrics, Elsevier, vol. 193(1), pages 251-270.
    9. Andreasen, Martin M. & Christensen, Bent Jesper, 2015. "The SR approach: A new estimation procedure for non-linear and non-Gaussian dynamic term structure models," Journal of Econometrics, Elsevier, vol. 184(2), pages 420-451.
    10. Vogelsang, Timothy J., 2012. "Heteroskedasticity, autocorrelation, and spatial correlation robust inference in linear panel models with fixed-effects," Journal of Econometrics, Elsevier, vol. 166(2), pages 303-319.
    11. Kelejian, Harry H. & Piras, Gianfranco, 2014. "Estimation of spatial models with endogenous weighting matrices, and an application to a demand model for cigarettes," Regional Science and Urban Economics, Elsevier, vol. 46(C), pages 140-149.
    12. Harry H. Kelejian & Gianfranco Piras, 2016. "A J test for dynamic panel model with fixed effects, and nonparametric spatial and time dependence," Empirical Economics, Springer, vol. 51(4), pages 1581-1605, December.
    13. Harry Kelejian, 2014. "Omitted factors and spatial lags in the dependent variable," Letters in Spatial and Resource Sciences, Springer, vol. 7(1), pages 23-33, March.
    14. Dorn, Sabrina & Egger, Peter H., 2014. "Small-sample inference with spatial HAC estimators," Economics Letters, Elsevier, vol. 125(2), pages 236-239.
    15. repec:eee:regeco:v:68:y:2018:i:c:p:226-238 is not listed on IDEAS
    16. Harry H. Kelejian & Gianfranco Piras, 2013. "Estimation of Spatial Models with Endogenous Weighting Matrices and an Application to a Demand Model for Cigarettes," Working Papers Working Paper 2013-02, Regional Research Institute, West Virginia University.
    17. Zhang, Chuanguo & Nian, Jiang, 2013. "Panel estimation for transport sector CO2 emissions and its affecting factors: A regional analysis in China," Energy Policy, Elsevier, vol. 63(C), pages 918-926.

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