Regression modelEconometrics / time series

Fourier Random Effects Model

The Fourier Random Effects Model extends the standard random effects panel estimator by incorporating trigonometric (Fourier) terms to approximate smooth, gradual structural change in time trends or intercepts. It retains the GLS efficiency advantages of the random effects estimator while allowing parameters to shift continuously over time without requiring knowledge of exact break dates.

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Sources

  1. Becker, R., Enders, W., & Lee, J. (2006). A stationary test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409. DOI: 10.1111/j.1467-9892.2006.00478.x
  2. Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-199. DOI: 10.1016/j.econlet.2012.04.081

Related methods

ScholarGateFourier Random Effects Model (Fourier Flexible Form Random Effects Panel Model). Retrieved 2026-06-04 from https://scholargate.app/en/econometrics/fourier-random-effects-model