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Модель AR с Фурье-членами×Модель ARIMA (авторегрессионная интегрированная скользящая средняя)×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления20121970
Автор методаEnders & LeeGeorge Box and Gwilym Jenkins
ТипTime series model with Fourier augmentationTime series forecasting 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 modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Связанные66
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 ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
ScholarGateНабор данных
  1. v1
  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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