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Semiparametric Spatial Autoregressive Panel Data Model with Fixed Effects and Time-Varying Coefficients

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  • Xuan Liang
  • Jiti Gao
  • Xiaodong Gong

Abstract

This paper considers a semiparametric spatial autoregressive panel data model with fixed effects with time-varying coefficients. The time-varying coefficients are allowed to follow an unknown function of time while the other parameters are assumed to be constants. We propose a "local linear concentrated quasi-maximum likelihood estimation" method to obtain consistent estimators for the spatial autoregressive coefficient, the variance of the error term and the nonparametric time-varying coefficients. We show that the estimators of the parametric components converge at the rate of sqrt(NT), and those of the nonparametric time-varying coefficients converge at the rate of sqrt(NTh). Monte Carlo simulations are conducted to illustrate the finite sample performance of our proposed method. We apply our method to study the spatial influences and the time-varying spillover effects in the wage level among 159 Chinese cities.

Suggested Citation

  • Xuan Liang & Jiti Gao & Xiaodong Gong, 2021. "Semiparametric Spatial Autoregressive Panel Data Model with Fixed Effects and Time-Varying Coefficients," Monash Econometrics and Business Statistics Working Papers 5/21, Monash University, Department of Econometrics and Business Statistics.
    • Handle: RePEc:msh:ebswps:2021-5
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    2. Bogui Li & Jianbao Chen & Hao Chen, 2024. "Estimation of fixed effects semiparametric single-index panel model with spatio-temporal correlated errors," Statistical Papers, Springer, vol. 65(8), pages 4915-4953, October.
    3. Shosei Sakaguchi & Hayato Tagawa, 2024. "Identification and Inference for Synthetic Control Methods with Spillover Effects: Estimating the Economic Cost of the Sudan Split," Papers 2408.00291, arXiv.org, revised Oct 2024.

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    More about this item

    Keywords

    concentrated quasi-maximum likelihood estimation; local linear estimation; time-varying coefficient;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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