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Nonlinear Spatial Dynamic Panel Data Models with Endogenous Dominant Units

An Application to Share Data

Bibliographic Data

ID19418266
AuthorsJiajun Zhang (0000-0002-8859-9542, Shanghai Jiao Tong University), Chuanmin Zhao (0000-0003-2635-6307, Beijing Jiaotong University), Xi Qu (0000-0002-5747-3031, Shanghai Jiao Tong University, corresponding author)
Year2025
Volume43
Issue1
Pages150-163
Publication date2025-01-02
Open AccessNo
TypeARTICLE
VenueJournal of Business and Economic Statistics (JOURNAL)
Journal identifiersISSN: 0735-0015 • E-ISSN: 1537-2707
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/07350015.2024.2329645
OpenAlexW4392641611
LanguageEN
Citations received1
References cited70

This article develops a nonlinear spatial dynamic panel data model with one particularly interesting application to a structural interaction model for share data. To account for effects from dominant (popular) units, the spatial weights matrix in our model can allow for unbounded column sums. To account for heterogeneity, our model includes two-way fixed effects and heteroscedastic errors. We further consider the potential endogeneity of the spatial weight matrix constructed from socioeconomic distance. We investigate the quasi-maximum likelihood estimator (QMLE), generalized methods of moments estimator (GMME), and root estimator (RTE), and establish their consistency and asymptotic normality based on the near epoch dependence (NED) framework. The RTE can derive a relatively computationally simple and closed-form solution without evaluating the QMLE’s Jacobian matrix as well as the iterations by GMME. We consider both n,T→∞, and the strength of the dominant units is equal to 1 when T→∞. For the purpose of empirical analysis, we derive the marginal effects and their limiting distributions based on the proposed estimators. In an empirical application, we apply our model to China’s prefecture city-level data, revealing significant spillover effects of the tertiary industry share. These findings suggest that the development of the tertiary sector in large cities can foster its growth in small cities

Asymptotic distribution · Econometrics · Endogeneity · Estimator · Generalized method of moments · Heteroscedasticity · Nonlinear system · Panel data · Spatial dependence · Spatial econometrics · Statistics · Triangular array · Mathematics · Regional Economic and Spatial Analysis · Regional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Applied Mathematics

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Citations per year0.5
Citation span2024 - 2024 (1)
Highly citedNo

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