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フーリエSARIMAモデル×フーリエVARモデル×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19942010s
提唱者Harvey & Scott (1994); Hyndman & Athanasopoulos (popularization)Enders & Lee; extended by Nazlioglu and others to VAR systems
種類Seasonal time series model with trigonometric regressorsMultivariate time-series model
原典Harvey, A., & Scott, A. (1994). Seasonality in dynamic regression models. The Economic Journal, 104(427), 1324-1345. link ↗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 ↗
別名Fourier SARIMA, SARIMA with Fourier terms, Fourier-SARIMA, trigonometric SARIMAFourier VAR, smooth structural break VAR, trigonometric VAR, Fourier-augmented VAR
関連66
概要The Fourier SARIMA model extends the classical Seasonal ARIMA framework by incorporating trigonometric (Fourier) terms as deterministic regressors. This allows the model to approximate smooth, complex, or multiple-frequency seasonal patterns without requiring a full seasonal ARIMA structure for every frequency, making it particularly useful for high-frequency data or series with non-integer or evolving seasonality.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.
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ScholarGate手法を比較: Fourier SARIMA model · Fourier VAR model. 2026-06-18に以下より取得 https://scholargate.app/ja/compare