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Large Sample Properties Of Bayesian Estimation Of Spatial Econometric Models

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  • Han, Xiaoyi
  • Lee, Lung-Fei
  • Xu, Xingbai

Abstract

This paper studies asymptotic properties of a posterior probability density and Bayesian estimators of spatial econometric models in the classical statistical framework. We focus on the high-order spatial autoregressive model with spatial autoregressive disturbance terms, due to a computational advantage of Bayesian estimation. We also study the asymptotic properties of Bayesian estimation of the spatial autoregressive Tobit model, as an example of nonlinear spatial models. Simulation studies show that even when the sample size is small or moderate, the posterior distribution of parameters is well approximated by a normal distribution, and Bayesian estimators have satisfactory performance, as classical large sample theory predicts.

Suggested Citation

  • Han, Xiaoyi & Lee, Lung-Fei & Xu, Xingbai, 2021. "Large Sample Properties Of Bayesian Estimation Of Spatial Econometric Models," Econometric Theory, Cambridge University Press, vol. 37(4), pages 708-746, August.
  • Handle: RePEc:cup:etheor:v:37:y:2021:i:4:p:708-746_3
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    Cited by:

    1. Doğan, Osman, 2023. "Modified harmonic mean method for spatial autoregressive models," Economics Letters, Elsevier, vol. 223(C).
    2. Abhimanyu Gupta & Xi Qu, 2021. "Consistent specification testing under spatial dependence," Papers 2101.10255, arXiv.org, revised Aug 2022.

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