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مدل خودرگرسیون (AR)×مدل ARMA (میانگین متحرک خودرگرسیو)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1970s (popularised 1976)1970
پدیدآورGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. Jenkins
نوعTime series modelTime series 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 processARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
مرتبط65
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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.
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ScholarGateمقایسهٔ روش‌ها: Autoregressive model · ARMA model. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare