手法を比較

	フーリエ誤差修正モデル (Fourier VECM)	構造変化を伴うベクトル誤差修正モデル（SB-VECM）
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2004–2012	1996–2000
提唱者	Enders & Lee (2004/2012); extended to VECM by subsequent authors	Gregory & Hansen (1996); Johansen, Mosconi & Nielsen (2000)
種類	Error-correction model with Fourier terms	Multivariate error correction model with structural breaks
原典	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.	Gregory, A. W., & Hansen, B. E. (1996). Residual-based tests for cointegration in models with regime shifts. Journal of Econometrics, 70(1), 99–126.
別名	Fourier VECM, Fourier-approximation VECM, smooth-break VECM, trigonometric VECM	SB-VECM, VECM with regime shifts, cointegration model with structural breaks, break-augmented VECM
関連	5	5
概要	The 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 Structural Break VECM extends the standard Vector Error Correction Model to allow the cointegrating relationships, adjustment speeds, or short-run dynamics to shift at one or more known or estimated break dates. It preserves the long-run equilibrium framework of the VECM while explicitly modelling regime changes caused by policy shifts, crises, or institutional changes.