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Fourier AR-modell×Autoregressiv modell (AR)×
FagfeltØkonometriØkonometri
FamilieRegression modelRegression model
Opprinnelsesår20121970s (popularised 1976)
OpphavspersonEnders & LeeGeorge E. P. Box and Gwilym M. Jenkins
TypeTime series model with Fourier augmentationTime series model
Opprinnelig kildeEnders, 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 ↗Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043
AliasFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelAR model, AR(p) model, autoregression, AR process
Relaterte66
SammendragThe Fourier AR model extends the standard autoregressive specification by adding trigonometric (sine and cosine) terms to the deterministic component. This allows the model to capture smooth, gradual shifts in the mean or trend of a time series without requiring the researcher to locate or count structural break points explicitly.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.
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ScholarGateSammenlign metoder: Fourier AR Model · Autoregressive model. Hentet 2026-06-17 fra https://scholargate.app/no/compare