Regression modelEconometrics / time series

Fourier OLS (Fourier-Augmented Ordinary Least Squares)

Fourier OLS is an OLS regression extended by adding low-frequency trigonometric (sine and cosine) terms to the regressor matrix. These Fourier components approximate smooth, gradual structural changes in the regression relationship over time without requiring knowledge of the number, timing, or form of the breaks.

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Sources

  1. Becker, R., Enders, W., & Hurn, S. (2004). A general test for time dependence in parameters. Journal of Applied Econometrics, 19(7), 899–906. DOI: 10.1002/jae.751
  2. Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI: 10.1111/j.1468-0084.2011.00662.x

Related methods

ScholarGateFourier OLS (Fourier-Augmented Ordinary Least Squares). Retrieved 2026-06-04 from https://scholargate.app/tr/econometrics/fourier-ols