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푸리에 AR 모형×자기회귀 모형 (AR)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도20121970s (popularised 1976)
창시자Enders & LeeGeorge E. P. Box and Gwilym M. Jenkins
유형Time series model with Fourier augmentationTime series model
원전Enders, 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
별칭Fourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelAR model, AR(p) model, autoregression, AR process
관련66
요약The 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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