Regression modelEconometrics / time series
Fourier Arellano-Bond GMM
Fourier Arellano-Bond GMM is a dynamic panel estimator that augments the classic Arellano-Bond first-differenced GMM framework with Fourier trigonometric terms to capture smooth, gradual structural breaks in the time dimension. It handles endogeneity through lagged-level instruments while remaining robust to unknown nonlinear trends that standard difference GMM ignores.
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Sources
- Arellano, M., & Bond, S. (1991). Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies, 58(2), 277-297. DOI: 10.2307/2297968 ↗
- Gallant, A. R. (1981). On the bias in flexible functional forms and an essentially unbiased form: The Fourier flexible form. Journal of Econometrics, 15(2), 211-245. DOI: 10.1016/0304-4076(81)90115-9 ↗