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Modelo ARIMA de Fourier×Modelo ARIMA (Autoregressive Integrated Moving Average)×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem2004-20121970
Autor originalBecker, Enders, and Hurn; further extended by Enders and LeeGeorge Box and Gwilym Jenkins
TipoTime series modelTime series forecasting model
Fonte seminalEnders, 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 ↗
Outros nomesFourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relacionados26
ResumoThe 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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ScholarGateComparar métodos: Fourier ARIMA model · ARIMA model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare