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Fourier ARMA-model×Fourier VAR-model×
VakgebiedEconometrieEconometrie
FamilieRegression modelRegression model
Jaar van ontstaan2004–20062010s
GrondleggerBecker, Enders, and HurnEnders & Lee; extended by Nazlioglu and others to VAR systems
TypeTime series model with smooth structural changeMultivariate time-series model
Oorspronkelijke bronBecker, R., Enders, W., & Hurn, S. (2006). A general test for time dependence in parameters. Journal of Applied Econometrics, 21(7), 1005–1028. link ↗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 ↗
AliassenFourier ARMA, ARMA with Fourier terms, trigonometric ARMA, smooth structural change ARMAFourier VAR, smooth structural break VAR, trigonometric VAR, Fourier-augmented VAR
Verwant56
SamenvattingThe Fourier ARMA model augments the classical Autoregressive Moving Average framework with low-frequency Fourier (sine and cosine) terms to capture smooth, gradual shifts in the mean or trend of a time series. Unlike dummy-variable approaches, it requires no prior knowledge of when structural change occurred, approximating change with flexible trigonometric functions.The Fourier VAR model extends the standard Vector Autoregression by replacing fixed deterministic terms with Fourier trigonometric components, allowing the intercept (and optionally the trend) to shift gradually and smoothly over time. This eliminates the need to pre-specify the number, timing, or shape of structural breaks in a multivariate time-series system.
ScholarGateGegevensset
  1. v1
  2. 2 Bronnen
  3. PUBLISHED
  1. v1
  2. 2 Bronnen
  3. PUBLISHED

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ScholarGateMethoden vergelijken: Fourier ARMA model · Fourier VAR model. Geraadpleegd op 2026-06-18 via https://scholargate.app/nl/compare