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Modelo AR de Fourier×Modelo de Correção de Erros Vetorial com Fourier (Fourier VECM)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem20122004–2012
Autor originalEnders & LeeEnders & Lee (2004/2012); extended to VECM by subsequent authors
TipoTime series model with Fourier augmentationError-correction model with Fourier terms
Fonte seminalEnders, 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 ↗
Outros nomesFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelFourier VECM, Fourier-approximation VECM, smooth-break VECM, trigonometric VECM
Relacionados65
ResumoThe 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 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.
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ScholarGateComparar métodos: Fourier AR Model · Fourier VECM. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare