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مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)×مدل آریما-فوریه (Fourier ARIMA Model)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش19702004-2012
پدیدآورGeorge Box and Gwilym JenkinsBecker, Enders, and Hurn; further extended by Enders and Lee
نوعTime series forecasting modelTime series model
منبع بنیادینBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Enders, W., & Lee, J. (2012). The flexible Fourier form and Dickey-Fuller type unit root tests. Economics Letters, 117(1), 196-202. DOI ↗
نام‌های دیگرARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Fourier ARIMA, ARIMA with Fourier terms, trigonometric ARIMA, Fourier-flexible ARIMA
مرتبط62
خلاصهThe 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.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.
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ScholarGateمقایسهٔ روش‌ها: ARIMA model · Fourier ARIMA model. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare