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푸리에 AR 모형×구조적 분할 AR 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도20121989-2003
창시자Enders & LeePerron (1989); Bai & Perron (1998, 2003)
유형Time series model with Fourier augmentationTime-series model with structural change
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 ↗Bai, J., & Perron, P. (2003). Computation and analysis of multiple structural change models. Journal of Applied Econometrics, 18(1), 1-22. DOI ↗
별칭Fourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelAR model with structural change, breakpoint AR model, piecewise autoregressive model, AR model with regime shifts
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.The structural break AR model extends the standard autoregressive framework by allowing the intercept and autoregressive coefficients to shift at one or more unknown break dates. Each regime between consecutive break points is governed by its own AR parameters, capturing abrupt changes in the dynamics of a time series caused by crises, policy shifts, or other shocks.
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