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Efficient GMM estimation of a spatial autoregressive model with an endogenous spatial weights matrix

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  • Kong, Wei
  • Yang, Kai

Abstract

This paper studies the GMM estimation with the best linear and quadratic moments for a spatial autoregressive model with an endogenous spatial weights matrix. The proposed estimator is asymptotically more efficient than the QML estimator when the disturbances are non-normal.

Suggested Citation

  • Kong, Wei & Yang, Kai, 2021. "Efficient GMM estimation of a spatial autoregressive model with an endogenous spatial weights matrix," Economics Letters, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:ecolet:v:208:y:2021:i:c:s0165176521003670
    DOI: 10.1016/j.econlet.2021.110090
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    References listed on IDEAS

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    1. Breusch, Trevor & Qian, Hailong & Schmidt, Peter & Wyhowski, Donald, 1999. "Redundancy of moment conditions," Journal of Econometrics, Elsevier, vol. 91(1), pages 89-111, July.
    2. 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.
    3. Debarsy, Nicolas & Jin, Fei & Lee, Lung-fei, 2015. "Large sample properties of the matrix exponential spatial specification with an application to FDI," Journal of Econometrics, Elsevier, vol. 188(1), pages 1-21.
    4. Qu, Xi & Lee, Lung-fei, 2015. "Estimating a spatial autoregressive model with an endogenous spatial weight matrix," Journal of Econometrics, Elsevier, vol. 184(2), pages 209-232.
    5. Liu, Xiaodong & Lee, Lung-fei & Bollinger, Christopher R., 2010. "An efficient GMM estimator of spatial autoregressive models," Journal of Econometrics, Elsevier, vol. 159(2), pages 303-319, December.
    6. Qu, Xi & Lee, Lung-fei & Yu, Jihai, 2017. "QML estimation of spatial dynamic panel data models with endogenous time varying spatial weights matrices," Journal of Econometrics, Elsevier, vol. 197(2), pages 173-201.
    7. Jenish, Nazgul & Prucha, Ingmar R., 2012. "On spatial processes and asymptotic inference under near-epoch dependence," Journal of Econometrics, Elsevier, vol. 170(1), pages 178-190.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Generalized method of moment; Endogenous spatial weights matrix; Estimation efficiency;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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