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푸리에 구조 벡터 자기회귀 (Fourier SVAR) 모형×푸리에 VAR 모형×Vector Autoregression (VAR) Model×
분야계량경제학계량경제학계량경제학
계열Regression modelRegression modelRegression model
기원 연도2010s2010s2005
창시자Extension of Sims (1980) SVAR framework with Fourier-series smoothing, developed across multiple authors in 2010sEnders & Lee; extended by Nazlioglu and others to VAR systemsLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
유형Structural time-series modelMultivariate time-series modelMultivariate time-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 ↗Enders, 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 ↗Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
별칭Fourier SVAR, Fourier structural VAR, Fourier-approximation SVAR, frequency-domain SVARFourier VAR, smooth structural break VAR, trigonometric VAR, Fourier-augmented VARvector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
관련364
요약The Fourier SVAR model integrates Fourier series approximations into the structural VAR framework, allowing the model to capture smooth, gradual structural breaks and time-varying dynamics in multivariate time series without requiring a priori knowledge of break dates. It recovers structural shocks and their propagation effects while remaining robust to low-frequency parameter drift.The 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.Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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