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مدل خودرگرسیون (AR)×مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1970s (popularised 1976)1970
پدیدآورGeorge E. P. Box and Gwilym M. JenkinsGeorge Box and Gwilym Jenkins
نوعTime series modelTime series forecasting model
منبع بنیادینBox, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
نام‌های دیگرAR model, AR(p) model, autoregression, AR processARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
مرتبط66
خلاصهAn autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.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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ScholarGateمقایسهٔ روش‌ها: Autoregressive model · ARIMA model. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare