手法を比較

	フーリエARIMAモデル	自己回帰和分移動平均モデル (ARIMA Model)
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2004-2012	1970
提唱者	Becker, Enders, and Hurn; further extended by Enders and Lee	George Box and Gwilym Jenkins
種類	Time series model	Time series forecasting model
原典	Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202.	Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day.
別名	Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA	ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
関連	2	6
概要	The 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.