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Модель ARMA с Фурье-членами×Модель ARMA (авторегрессионная скользящая средняя)×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления2004–20061970
Автор методаBecker, Enders, and HurnGeorge E. P. Box and Gwilym M. Jenkins
ТипTime series model with smooth structural changeTime series model
Основополагающий источникBecker, R., Enders, W., & Hurn, S. (2006). A general test for time dependence in parameters. Journal of Applied Econometrics, 21(7), 1005–1028. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Другие названияFourier ARMA, ARMA with Fourier terms, trigonometric ARMA, smooth structural change ARMAARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Связанные55
СводкаThe Fourier ARMA model augments the classical Autoregressive Moving Average framework with low-frequency Fourier (sine and cosine) terms to capture smooth, gradual shifts in the mean or trend of a time series. Unlike dummy-variable approaches, it requires no prior knowledge of when structural change occurred, approximating change with flexible trigonometric functions.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 ARMA model · ARMA model. Получено 2026-06-17 из https://scholargate.app/ru/compare