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Модель Фурье скользящего среднего (Fourier MA)×Модель Фурье-ARIMA×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления1990s–2000s2004-2012
Автор методаHarvey, A. C.; Hyndman, R. J.Becker, Enders, and Hurn; further extended by Enders and Lee
ТипTime series modelTime series model
Основополагающий источникHyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗
Другие названияFourier MA, Fourier-augmented moving average, trigonometric MA model, harmonic moving average modelFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
Связанные22
СводкаThe Fourier MA model combines a Moving Average (MA) error structure with Fourier series terms — sine and cosine pairs — to capture complex or high-frequency seasonal patterns in time series data. It is particularly useful when the seasonal period is long or irregular, making classical seasonal ARIMA parameterisation infeasible.The Fourier ARIMA model augments a standard ARIMA specification with trigonometric sine and cosine terms, allowing it to capture smooth, gradual structural change and flexible nonlinear seasonality without specifying the exact timing or number of breaks in advance. It is widely used in applied macroeconometrics and finance for series exhibiting slowly evolving dynamics.
ScholarGateНабор данных
  1. v1
  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Fourier MA Model · Fourier ARIMA model. Получено 2026-06-18 из https://scholargate.app/ru/compare