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Fjūrie ARMA modelis×ARMA modelis (Autoregresīvs vidējais aritmētiskais)×
NozareEkonometrijaEkonometrija
SaimeRegression modelRegression model
Izcelsmes gads2004–20061970
AutorsBecker, Enders, and HurnGeorge E. P. Box and Gwilym M. Jenkins
TipsTime series model with smooth structural changeTime series model
PirmavotsBecker, 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 ↗
Citi nosaukumiFourier ARMA, ARMA with Fourier terms, trigonometric ARMA, smooth structural change ARMAARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Saistītās55
KopsavilkumsThe 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.
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ScholarGateSalīdzināt metodes: Fourier ARMA model · ARMA model. Izgūts 2026-06-17 no https://scholargate.app/lv/compare