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फूरियर मूविंग एवरेज (फूरियर एमए) मॉडल×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष1990s–2000s1970
प्रवर्तकHarvey, A. C.; Hyndman, R. J.George Box and Gwilym Jenkins
प्रकारTime series modelTime series forecasting model
मौलिक स्रोतHyndman, 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 ↗
उपनामFourier MA, Fourier-augmented moving average, trigonometric MA model, harmonic moving average modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
संबंधित26
सारांशThe 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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