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Модель ARIMA (авторегрессионная интегрированная скользящая средняя)×Модель Фурье-ARIMA×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления19702004-2012
Автор методаGeorge Box and Gwilym JenkinsBecker, Enders, and Hurn; further extended by Enders and Lee
ТипTime series forecasting modelTime series model
Основополагающий источникBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. 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 названияARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
Связанные62
СводкаThe 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.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
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ScholarGateСравнение методов: ARIMA model · Fourier ARIMA model. Получено 2026-06-19 из https://scholargate.app/ru/compare