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Unified M-estimation of fixed-effects spatial dynamic models with short panels

Author

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  • Yang, Zhenlin

Abstract

It is well known that quasi maximum likelihood (QML) estimation of dynamic panel data (DPD) models with short panels depends on the assumptions on the initial values, and a wrong treatment of them will result in inconsistency and serious bias. The same issues apply to spatial DPD (SDPD) models with short panels. In this paper, a unified M-estimation method is proposed for estimating the fixed-effects SDPD models containing three major types of spatial effects, namely spatial lag, spatial error and space–time lag. The method is free from the specification of the distribution of the initial observations and robust against nonnormality of the errors. Consistency and asymptotic normality of the proposed M-estimator are established. A martingale difference representation of the underlying estimating functions is developed, which leads to an initial-condition free estimate of the variance of the M-estimators. Monte Carlo results show that the proposed methods have excellent finite sample performance.

Suggested Citation

  • Yang, Zhenlin, 2018. "Unified M-estimation of fixed-effects spatial dynamic models with short panels," Journal of Econometrics, Elsevier, vol. 205(2), pages 423-447.
    • Handle: RePEc:eee:econom:v:205:y:2018:i:2:p:423-447
    DOI: 10.1016/j.jeconom.2017.08.019
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    Citations

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    Cited by:

    1. Junyue Wu & Yasumasa Matsuda, 2021. "A threshold extension of spatial dynamic panel model with fixed effects," Journal of Spatial Econometrics, Springer, vol. 2(1), pages 1-30, December.
    2. Liang, Jinwen & Härdle, Wolfgang Karl & Tian, Maozai, 2023. "Imputed quantile tensor regression for near-sited spatial-temporal data," Computational Statistics & Data Analysis, Elsevier, vol. 182(C).
    3. Baltagi, Badi H. & Pirotte, Alain & Yang, Zhenlin, 2021. "Diagnostic tests for homoskedasticity in spatial cross-sectional or panel models," Journal of Econometrics, Elsevier, vol. 224(2), pages 245-270.
    4. Giovanni Millo, 2024. "An Ad Hoc Procedure for Testing Serial Correlation in Spatial Fixed-Effects Panels," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    5. Huang, Naqun & Yang, Zhenlin, 2021. "Spatial dynamic models with short panels: Evaluating the impact of purchase restrictions on housing prices," Economic Modelling, Elsevier, vol. 103(C).
    6. Acedański, Jan & Karkowska, Renata, 2022. "Instability spillovers in the banking sector: A spatial econometrics approach," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    7. Zhou, Qian & Shao, Qinglong & Zhang, Xiaoling & Chen, Jie, 2020. "Do housing prices promote total factor productivity? Evidence from spatial panel data models in explaining the mediating role of population density," Land Use Policy, Elsevier, vol. 91(C).
    8. Guo, Juncong & Qu, Xi, 2020. "Fixed effects spatial panel data models with time-varying spatial dependence," Economics Letters, Elsevier, vol. 196(C).
    9. Ye Yang & Osman Doğan & Süleyman Taşpınar, 2023. "Observed-data DIC for spatial panel data models," Empirical Economics, Springer, vol. 64(3), pages 1281-1314, March.
    10. 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).
    11. Li, Liyao & Yang, Zhenlin, 2021. "Spatial dynamic panel data models with correlated random effects," Journal of Econometrics, Elsevier, vol. 221(2), pages 424-454.
    12. Jin, Fei & Lee, Lung-fei & Yu, Jihai, 2020. "First difference estimation of spatial dynamic panel data models with fixed effects," Economics Letters, Elsevier, vol. 189(C).
    13. Marius C. O. Amba & Julie Gallo, 2022. "Specification and estimation of a periodic spatial panel autoregressive model," Journal of Spatial Econometrics, Springer, vol. 3(1), pages 1-34, December.
    14. Ye Yang & Osman Dogan & Suleyman Taspinar & Fei Jin, 2023. "A Review of Cross-Sectional Matrix Exponential Spatial Models," Papers 2311.14813, arXiv.org.
    15. Gilberto Tadeu Lima & Andre M. Marques, 2022. "Demand and Distribution in a Dynamic Spatial Panel Model for the United States: Evidence from State-Level Data," Working Papers, Department of Economics 2022_21, University of São Paulo (FEA-USP), revised 05 Oct 2022.

    More about this item

    Keywords

    Adjusted quasi score; Dynamic panels; Fixed effects; Initial-condition free estimation; Martingale difference; OPMD; Spatial effects; Short panels;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • 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
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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