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Modelo ARMA de Fourier×Modelo ARMA (Média Móvel Autorregressiva)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem2004–20061970
Autor originalBecker, Enders, and HurnGeorge E. P. Box and Gwilym M. Jenkins
TipoTime series model with smooth structural changeTime series model
Fonte seminalBecker, 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 ↗
Outros nomesFourier ARMA, ARMA with Fourier terms, trigonometric ARMA, smooth structural change ARMAARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Relacionados55
ResumoThe 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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ScholarGateComparar métodos: Fourier ARMA model · ARMA model. Recuperado em 2026-06-17 de https://scholargate.app/pt/compare