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푸리에 VAR 모형×푸리에 그래인저 인과관계 검정×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2010s2016
창시자Enders & Lee; extended by Nazlioglu and others to VAR systemsEnders and Jones
유형Multivariate time-series modelCausality 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 ↗Enders, W., & Jones, P. (2016). Grain prices, oil prices, and multiple smooth breaks in a VAR. Studies in Nonlinear Dynamics and Econometrics, 20(4), 399–419. DOI ↗
별칭Fourier VAR, smooth structural break VAR, trigonometric VAR, Fourier-augmented VARFourier Granger causality test, Enders-Jones Granger causality, smooth structural break Granger test, spectral Granger causality
관련66
요약The 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.The Fourier Granger causality test extends the classic Granger causality framework by embedding low-frequency Fourier terms in the VAR equation, allowing the causal relationship to shift gradually over time without requiring the researcher to pre-specify the number or location of structural breaks.
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