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Модель AR с Фурье-членами×Модель ARMA (авторегрессионная скользящая средняя)×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления20121970
Автор методаEnders & LeeGeorge E. P. Box and Gwilym M. Jenkins
ТипTime series model with Fourier augmentationTime series model
Основополагающий источникEnders, 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 ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Другие названияFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Связанные65
СводкаThe 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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.
ScholarGateНабор данных
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  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Fourier AR Model · ARMA model. Получено 2026-06-17 из https://scholargate.app/ru/compare