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Fourier ARIMA mudel×ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta2004-20121970
LoojaBecker, Enders, and Hurn; further extended by Enders and LeeGeorge Box and Gwilym Jenkins
TüüpTime series modelTime series forecasting model
AlgallikasEnders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
RööpnimetusedFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Seotud26
KokkuvõteThe 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.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.
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ScholarGateVõrdle meetodeid: Fourier ARIMA model · ARIMA model. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare