विधियों की तुलना करें

	फूरियर मूविंग एवरेज (फूरियर एमए) मॉडल	Fourier ARIMA मॉडल
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	1990s–2000s	2004-2012
प्रवर्तक	Harvey, A. C.; Hyndman, R. J.	Becker, Enders, and Hurn; further extended by Enders and Lee
प्रकार	Time series model	Time series model
मौलिक स्रोत	Hyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts.	Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202.
उपनाम	Fourier MA, Fourier-augmented moving average, trigonometric MA model, harmonic moving average model	Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
संबंधित	2	2
सारांश	The 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 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.