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Functional coefficient panel modeling with communal smoothing covariates

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  • Phillips, Peter C.B.
  • Wang, Ying

Abstract

Behavior at the individual level in panels is often influenced by aspects of the system in aggregate. In particular, the interaction between individual-specific explanatory variables and an individual dependent variable may be affected by ‘global’ variables that are relevant in decision making and shared communally by all individuals in the sample. To capture such behavioral features, we employ a functional coefficient panel model in which certain communal covariates may jointly influence panel interactions by means of their impact on the model coefficients. Two classes of estimation procedures are proposed, one based on cross-section averaged data, the other on the full panel. The asymptotic properties of these methods are obtained and compared, allowing for sequential and joint expansion of the cross-section and time series sample sizes. Limit theory for the associated fixed effects estimators is derived and inferential procedures are developed to test hypotheses concerning the functional coefficients. The finite sample performance of the proposed estimators and tests are examined by simulation. An empirical illustration is provided in which the regional sensitivity of housing rental prices to available job numbers is studied with national labor force participation rate as the communal smoothing covariate. Strong evidence is found supporting the functional coefficient specification with this country-wide smoothing variable.

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  • Phillips, Peter C.B. & Wang, Ying, 2022. "Functional coefficient panel modeling with communal smoothing covariates," Journal of Econometrics, Elsevier, vol. 227(2), pages 371-407.
    • Handle: RePEc:eee:econom:v:227:y:2022:i:2:p:371-407
    DOI: 10.1016/j.jeconom.2021.03.004
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    Cited by:

    1. Xiaorong Yang & Jia Chen & Degui Li & Runze Li, 2024. "Functional-Coefficient Quantile Regression for Panel Data with Latent Group Structure," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 42(3), pages 1026-1040, July.
    2. Phillips, Peter C.B. & Wang, Ying, 2022. "Functional coefficient panel modeling with communal smoothing covariates," Journal of Econometrics, Elsevier, vol. 227(2), pages 371-407.
    3. Qiying Wang & Peter C. B. Phillips & Ying Wang, 2023. "New asymptotics applied to functional coefficient regression and climate sensitivity analysis," Cowles Foundation Discussion Papers 2365, Cowles Foundation for Research in Economics, Yale University.
    4. Christis Katsouris, 2023. "Optimal Estimation Methodologies for Panel Data Regression Models," Papers 2311.03471, arXiv.org, revised Nov 2023.

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    More about this item

    Keywords

    Communal covariates; Fixed effects; Functional coefficients; Housing rental prices; Panel data; Tests of constancy;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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