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푸리에 벡터 오차 수정 모형 (Fourier VECM)×푸리에 ARDL 경계 검정×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2004–20122001-2021
창시자Enders & Lee (2004/2012); extended to VECM by subsequent authorsPesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
유형Error-correction model with Fourier termsCointegration / bounds test
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 ↗Nazlioglu, S., Gormus, A., & Soytas, U. (2021). Oil prices and monetary policy in emerging markets: structural breaks, asymmetries, and Fourier approximations. Energy Economics, 95, 105119. link ↗
별칭Fourier VECM, Fourier-approximation VECM, smooth-break VECM, trigonometric VECMFourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
관련55
요약The Fourier VECM augments the classical vector error correction model with low-frequency trigonometric terms — sine and cosine components — to capture smooth, gradual structural change in cointegrating relationships without specifying the number or timing of breaks in advance. It is used for multivariate cointegrated systems where long-run equilibria may shift gradually over time.The Fourier ARDL bounds test augments the Pesaran-Shin-Smith cointegration framework with trigonometric (Fourier) terms that capture gradual, smooth structural breaks in the data-generating process. It tests for a long-run level relationship between variables without requiring the researcher to specify the number, timing, or form of structural breaks in advance.
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