Regression modelEconometrics / time series

Fourier System GMM

Fourier system GMM embeds Fourier trigonometric terms into the System GMM estimator of Blundell and Bond (1998) to accommodate smooth, gradual structural breaks in dynamic panel data. By adding sine and cosine components as regressors, the estimator captures unknown, potentially multiple regime shifts without requiring prior knowledge of break dates, while preserving the instrument-based controls for endogeneity and individual fixed effects.

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Sources

  1. Blundell, R., & Bond, S. (1998). Initial conditions and moment restrictions in dynamic panel data models. Journal of Econometrics, 87(1), 115–143. DOI: 10.1016/S0304-4076(98)00009-8
  2. 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

Related methods

ScholarGateFourier system GMM (Fourier-Augmented System Generalized Method of Moments). Retrieved 2026-06-04 from https://scholargate.app/en/econometrics/fourier-system-gmm