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Modelo de Média Móvel de Fourier (Fourier MA)×Modelo ARIMA (Autoregressive Integrated Moving Average)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem1990s–2000s1970
Autor originalHarvey, A. C.; Hyndman, R. J.George Box and Gwilym Jenkins
TipoTime series modelTime series forecasting model
Fonte seminalHyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Outros nomesFourier MA, Fourier-augmented moving average, trigonometric MA model, harmonic moving average modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relacionados26
ResumoThe Fourier MA model combines a Moving Average (MA) error structure with Fourier series terms — sine and cosine pairs — to capture complex or high-frequency seasonal patterns in time series data. It is particularly useful when the seasonal period is long or irregular, making classical seasonal ARIMA parameterisation infeasible.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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ScholarGateComparar métodos: Fourier MA Model · ARIMA model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare